#R@z♡n

[dakusan]

S U R P R I S I N G S K Z O N T O U R — B A C K S T A G E

stray kids ot8 x reader | post-show sweat. backstage chaos. and the person they missed more than sleep.

🌙 synopsis: they’ve been gone for weeks—sweating under stadium lights, screaming into mic stands, hearts beating to the rhythm of a thousand voices. they’ve given everything. every night. to everyone. and then—it’s you. standing in the hallway. soft smile. no warning. no cameras. just you. and suddenly, the lights aren’t the brightest thing in the room anymore. this isn’t just a surprise. it’s home. it’s you.

💌 a/n: welcome to Tender Tuesday™. yes i made sure it's tuesday this time not like last time!!! this was written under the influence of 1 delusional daydream in a dressing room mirror and the mental image of Han Jisung tripping over his own mic pack trying to hug you. p.s. reblog this like you’re the one showing up in their hoodie p.p.s. drink water or bang chan will fly home and force-feed you oranges p.p.p.s. do yourselves a favour and go listen to the song. it’s disgustingly cute. if you somehow haven’t heard it yet—first of all, how dare you. second of all, fix that. also. watch skz react to their own mv for it. it’s unhinged. they are unwell. you will be too. you're welcome ♡

📍credits: @cafekitsune for the dividers

🎧 » Your Eyes — Stray Kids « 0:58 ─〇───── 3:16 ⇄ ◃◃ ⅠⅠ ▹▹ ↻

Bang Chan // 방찬

The show ends in a blur of lights, sweat, and deafening screams. Chan’s still catching his breath, chest rising and falling beneath the drenched tank top clinging to his body, mic still clipped to his jaw. The rest of the boys are collapsing into couches or toweling off, high on adrenaline and crowd energy.

Chan’s scanning the staff in the hallway with that ever-present leader instinct—checking on everyone, nodding at sound techs, offering quick praise to dancers. He turns the corner near the dressing rooms.

And stops. Like, full stop.

Because you’re standing there.

In his hoodie. Holding a bottle of water. Smiling like you belong here. Which you do. But he wasn’t expecting you for another week.

“…No way.”

He blinks twice. Looks behind him, like maybe you’re a mirage conjured by exhaustion. Then his whole face shatters into the softest smile you’ve ever seen.

“Wait—no, wait—no way.”

You laugh, arms opening before he even moves.

And then he runs.

No hesitation. No chill. Just full-speed Chan, sweaty, glowing, chest heaving, launching himself into your arms like gravity gave up on him the second you appeared. His arms lock around your waist instantly, head tucked into your neck, and he just holds you.

Tight. So tight it’s like he’s scared you’ll vanish if he lets go.

“You—” his voice cracks, and he laughs into your shoulder, breathless and slightly delirious. “You’re really here.”

You nod, arms around him. “Surprise.”

“Are you kidding?” he whispers, pulling back just enough to look at you, eyes wide, glassy. “That was the best surprise of my entire life.”

You brush his hair off his sweaty forehead. “You killed it out there.”

“I missed you out there,” he says, no filter, no hesitation.

And then he kisses you. Hard. Fast. Desperate. Like he doesn’t have time to say everything he feels and this is the only language he has left. When he pulls back, he presses your foreheads together and murmurs, “Don’t leave. Not yet. I need you right here.”

So you stay. In the hallway. Wrapped in each other. As the rest of the world continues spinning—but he’s only looking at you.

Lee Know // 리노

He’s calm. Collected. Leaning against a wall backstage post-show, sipping from a water bottle and nodding along as someone from staff debriefs him on the schedule. Typical Minho—quiet confidence, unreadable eyes, dancer precision. He just performed for 30,000 people and still looks mildly bored.

Until his gaze shifts. And lands on you.

For a second, he doesn’t react at all. Just stares. Like you short-circuited his brain. Eyes flicking from your shoes, to your hoodie (his), to your soft little smile like:

No. No no no. That’s not real. She’s not supposed to be here—

Then—

“…You’re kidding.” His voice is flat, but his ears are bright red.

You open your arms casually, like this isn’t the most romantic ambush of his life. He blinks. Slowly. Then glances at the staff member, mutters a distracted, “Sorry, I gotta go fall apart real quick,” and walks straight into you.

No running. No drama. Just quiet urgency. Hands on your waist. Forehead against your shoulder. Breathing you in like you’re oxygen and he’s been holding his breath the entire tour.

“I hate you,” he mumbles.

You smile into his hair. “No you don’t.”

He squeezes you tighter. “I really do.”

You laugh. “Why?”

“Because you showed up looking like that and now I have to pretend I’m fine when I’m actually thinking about skipping every stop on this tour just to drag you home.”

Your heart stutters. And then, softer—

“…I missed you.”

He doesn’t say it loud. Doesn’t need to. It’s in the way he won’t let go. The way his jaw’s clenched and his fingers are shaking slightly. The way he presses a kiss to your neck like it’s instinct. He pulls back just enough to look at you, and for the first time in a while—he actually smiles. That rare, real one. The one he only gives you.

“You could’ve warned me,” he says.

You shrug. “Wouldn’t have been as fun.”

He rolls his eyes. Then leans in, whispers in your ear, voice low and warm: “…You’re not sleeping alone tonight. Not after this.”

And you know. Under all the chill, the deadpan sarcasm, the perfect stage face—he’s shaken. And he’s so happy you’re here.

Changbin // 창빈

He’s pacing.

Shirt stuck to his back. Sweat dripping from his neck. Still riding the post-show high—wired, panting, glowing. He’s halfway through retelling a moment from the encore to a staff member, hands flailing, voice slightly hoarse—

Then he sees you.

And it’s over.

The world tilts. The noise dies. And his eyes go wide—like someone hit the brakes on his heart.

“…No way. NO WAY—”

He stumbles forward like his feet can’t decide whether to walk or run. His arms are already out. You barely get a breath in before he scoops you up into the most chaotic, all-consuming bear hug of your life. Your feet leave the floor. Your lungs get crushed. He spins you in a full circle before collapsing against a wall with you still in his arms.

“You—” he breathes, “I’m gonna cry. I swear. I’m not joking.”

You laugh into his neck. “Cry, then.”

“I might! I literally—what the hell. You were supposed to be in another country! You lied to me!”

You look up at him, grinning. “Yeah. And I’d do it again.”

He stares at you, eyes shining with disbelief and affection and something deeper that lives in his chest just for you. And then, he kisses your forehead. Slow. Grateful.

“I missed you so much it physically hurt,” he mumbles, voice cracking.

Then, a beat later: “You’re not leaving. You hear me? You’re staying with me ‘til tour’s over. I don’t care what we have to cancel.”

He presses his forehead to yours, and for a second, he’s not Changbin from Stray Kids. He’s just Binnie. Yours. Sweaty, shaky, and so, so in love.

Hyunjin // 현진

He’s sitting in front of the dressing room mirror. Still in his stage outfit. Still glowing. Still breathing fast. His head is bowed, fingers twitching over his knees, lost in the afterglow of a stage that nearly tore his heart out.

And then—

He looks up. Sees the door open. And sees you. Standing there. Wearing his hoodie. Eyes glassy with emotion, like you’ve been watching him the whole time.

At first, he doesn’t move. Just stares. And then—his whole body shatters. He’s up. Fast. But not loud. Not running. More like a storm gathering itself—slow, trembling, dangerous in how much it feels.

You whisper, “Hi, baby.”

And he’s in front of you before you can finish the breath. Hands cradling your face. Eyes searching yours like you’re not real.

“You—” he whispers, voice hoarse, “—you came?”

You nod. “I couldn’t stay away.”

And his lips part like he wants to say something profound, poetic, worthy of the art you are to him—but instead, all that comes out is:

“…I missed you.”

Then he pulls you in and hugs you like a drowning man grabbing the surface. One hand fisting your shirt. The other buried in your hair. His body shakes.

You feel his breath hitch once. Then again.

“Jinnie,” you whisper, “are you crying?”

He laughs through it, wet and shaky. “Shut up.”

You hold him tighter.

“You always do this to me,” he murmurs against your ear. “You always show up and make me feel like I’m seventeen again. Like love isn’t terrifying. Like I deserve it.”

You cup his cheeks, wipe the tears from under his eyes with your thumbs.

“Because you do.”

And he kisses you. So softly. Like a secret he wants to keep safe. Like he’s terrified this is a dream he’ll wake up from.

Han // 한

He’s still bouncing. Literally. Post-show adrenaline, sweat-drenched tank top, mic still clipped, rambling to whoever will listen about the crowd’s energy like—

“Bro, when the beat dropped in ‘Topline’? I almost exploded. Did you hear them? They were SCREAMING—”

Then he sees you.

You’re standing near the monitors. Hidden behind a stack of towels and staff gear. You’re just smiling, waiting. No cameras. No dramatic intro. Just you, soft-eyed and glowing in his hoodie.

He stares. And then? Absolutely. Freaking. Explodes.

“NO. WAIT—WHAT. WHAT—?!”

He screams. Actually screams. Everyone turns. Staff flinches. Someone drops a water bottle.

“YOU’RE HERE?!!” His voice cracks mid-yell. “YOU LIED TO ME!! YOU ABSOLUTE—ANGELIC—GENIUS—LIAR!!”

He’s running toward you now, full anime-level sprint, and crashes into you like a human wrecking ball. Arms tight, body buzzing, face buried in your neck like he needs to smell you just to prove this is real.

You’re laughing. “Hi, Ji—”

“Don’t talk to me,” he sobs. “You’re not real. I’m dreaming. I died on stage. This is heaven.”

“You’re sweaty.”

“I’m in love.”

You giggle and hug him tighter. He pulls back just enough to cup your face, eyes wide, pupils dilated, voice very serious: “Do you realize what you’ve done? You just caused an actual chemical reaction in my body. Like—my heart rate? THROUGH THE ROOF.”

“You okay?”

“No. Absolutely not. This is the most romantic moment of my entire life. I’m gonna need to sit down or I’ll propose by accident.”

You lean in and kiss the tip of his nose. He melts. Literally folds in half. “I’m keeping you,” he mumbles. “Like. Forever. Tour wife. This is happening. Don’t fight me.”

Felix // 필릭스

He’s glowing.

Skin glistening, hair damp, cheeks flushed from the encore. There’s glitter on his shoulders and stars in his eyes. He’s still catching his breath, thanking staff one by one with the kind of gentle sincerity only Felix knows how to give.

And then he turns the corner and stops breathing entirely.

Because you’re there. Backstage. In his hoodie. Hands behind your back. Smile blooming like spring.

He freezes. No words. No movement. Just a single, whispered—

“Angel…?”

You nod, eyes already brimming with tears. “Hi, sunshine.”

And that’s it. His body moves before his brain catches up. He walks toward you slow, almost reverently—like he’s afraid you’ll disappear if he blinks. Then suddenly you’re in his arms. Pressed flush to his chest, arms wrapped tight, face buried in your shoulder as he sighs. Not out of relief—out of pure emotional collapse.

“I missed you so much,” he whispers. “Like—so much. Like every night I looked for you and had to pretend I was fine.”

Your hand runs through his hair. “I know, baby. I know.”

He pulls back just enough to see your face, cupping your cheeks with both hands like you’re made of porcelain and sunlight.

“You’re real. You’re here. You’re mine.”

And then—he kisses you. Soft. Long. Like he has nothing to rush. Like he’s home. When he pulls back, he giggles through a sniffle.

“Okay. No one tell the others but… this is the best part of tour.”

Seungmin // 승민

He’s standing by the water cooler, towel around his neck, completely sweat-soaked and still glowing with that quiet Seungmin-brand confidence. He’s mid-sip when he spots you—half-hidden behind some gear cases, just… watching him.

For a full three seconds, he doesn’t react. Just blinks. Tilts his head. Tries to process. Then you wave. And he chokes on his water. He coughs. Clears his throat. Wipes his mouth on his sleeve. Then squints like you have some explaining to do.

You walk toward him slowly, smiling like you didn’t just shatter his entire emotional equilibrium.

“You—what? You were—” He frowns. “You weren’t supposed to be here.”

“That’s the point,” you say softly.

He goes quiet. Eyes flicking over your face, your outfit (one of his shirts, because of course), the little hopeful twitch of your mouth. And something in him just… cracks. “...That’s really mean,” he mutters, eyes glassy. “I could’ve emotionally prepared. Now I look stupid.”

You smile, stepping into his space, hands finding his waist. “You look perfect.”

He scoffs. “Sweaty. Smells like a wet dog.”

“Still perfect.”

And that’s when he lets out the tiniest, tiniest sigh. Like all the fight went out of him. He tugs you into a hug, arms wrapping around your back, his chin resting lightly on your head. “Don’t let go,” he mumbles. “I’m not doing the rest of tour without this. Just so you know.”

You smile into his chest. “Noted.”

Then, softer, a whisper you almost miss:

“...Thanks for coming back to me.”

I.n // 아이엔

He’s doing his post-show ritual—sitting on the dressing room floor with his legs stretched out, sipping his drink, cheeks flushed from dancing and screaming, trying to act cool even though his adrenaline is still going crazy.

He’s giggling at something a member says when the door creaks.

He looks up. And freezes. Because it’s you. Peeking in, eyes soft, fingers curled around the doorframe like you were nervous to interrupt.

“...Hi, baby,” you whisper.

His jaw actually drops. He blinks once, twice, like his brain needs buffering time.

“…You’re joking,” he finally says.

You step inside slowly. “Not a joke.”

You expect him to run. Cry. Scream. But instead—

He just sits there, completely still. Like his soul left his body for a minute. “…You really came?” he asks, voice small.

You kneel in front of him, taking his face in your hands. “Of course I did.”

And that’s when it happens.

His whole body slumps forward and he buries his face in your neck—arms wrapping around your waist in this desperate, trembling hold like he’s afraid to break you. “I missed you,” he says, so quietly it makes your chest ache. “So much. It’s been so hard.”

You stroke his hair. “You’re doing amazing. I’m so proud of you.”

And then? He starts sniffling. “Noooo don’t say that, I’m gonna cry,” he mumbles, voice cracking. “I was literally fine five seconds ago. This is so unfair.”

You laugh gently. “Cry, Jeonginnie. It’s okay.”

He pulls back, eyes watery, lips trembling into a smile. “I love you,” he blurts out. “A lot. Just—so much.”

And then he hugs you again. Tighter. Softer. Like now that you’re here, nothing else matters. Like home isn’t a place—it’s you.

[cissttoz]

♢ㅤִ𝆬ㅤ✽   ׂ  ₊ 𝆤𝆣

ㅤ          ᥲᥣfᥲbᥱto

ㅤ ɑ ᥲ ⍺

ㅤ ხ ᑲ Ꮂ

ㅤ ᥴ ɕ ｃ

ㅤ ძ ժ მ

ㅤ ᧉ ᥱ ꬲ

ㅤ ʄ ғ ẜ

ㅤ ԍ ց 𝚐

ㅤ ɦ н ჩ

ㅤ ɪ ι ı

ㅤ ȷ ʝ ꝭ

ㅤ к ᴋ ӄ

ㅤ ȴ ɭ ℓ

ㅤ ꧑ ო ꭑ

ㅤ ꬻ ꦫ ᥒ

ㅤ 𐐫 ⱺ ᦅ

ㅤ ᑭ թ ᖘ

ㅤ ϙ 𝚚 ᑫ

ㅤ ɾ я ⲅ

ㅤ ᥉ ƨ 𝚜

ㅤ Ɨ ȶ ɬ

ㅤ ᥙ υ ꭎ

ㅤ ᥎ ν ѵ

ㅤ ɯ ω ꙍ

ㅤ ꪎ x 𝚡

ㅤ ყ ч ʏ

ㅤ ʑ 𝚉 ｚ

🌸 . f𐐫ntᧉs ⑅ sɔft ♡ !

⠀་ ɑ⠀α⠀ꞗ⠀ɓ⠀b⠀ɕ⠀c⠀

⠀་ ɗ⠀d⠀���⠀ꫀ⠀ɘ⠀ə⠀e⠀ꬲ

⠀་ ẜ⠀f⠀բ⠀ꬶ⠀ɡ⠀ԍ⠀Ϧ⠀ɦ⠀

⠀་ ჩ⠀h⠀Ꭵ⠀ɪ⠀i⠀ꪱ⠀ȷ⠀ʝ⠀ј⠀

⠀་ ƙ⠀k⠀Ɩ⠀ℓ⠀𝗅⠀Ꙇ⠀ꭑ⠀ꬺ

⠀་ ɱ⠀m⠀𑜀⠀ꬻ⠀n⠀ᥢ⠀σ

⠀་ ⱺ⠀𐐫⠀ꬽ⠀ꪮ⠀ɔ⠀ᦢ⠀𑄜

⠀་ о⠀ꝕ⠀ꝓ⠀թ⠀p⠀q⠀ϥ

⠀་ ҩ⠀ᨾ⠀r⠀ɾ⠀ꮪ⠀ϩ⠀s⠀ɬ⠀

⠀་ ȶ⠀Ɨ⠀ƚ⠀ƭ⠀t⠀ꭎ⠀υ⠀u⠀

⠀་ ᥳ⠀v⠀ʋ⠀ɯ⠀ꭐ⠀ѡ⠀ɰ

⠀་ x⠀ч⠀ʮ⠀ɥ⠀ʓ⠀z⠀

[intomusings]

ೀ ﹒﹒  favorite   names   compilation    !

ur   fav   musings   girly   again   here   with   the   first   of   my   christmas   goodies   .   my   favorite   thing   to   do   is   these   name   compilations   so   i   decided   to   create   another   masterlist   of   my   absolute   favorite   ones   (   some   old   ,   mostly   new   )   anyways   all   i   ask   is   that   if   u   found   this   useful   ,   u   like   or   reblog   to   show   ur   support   .   i   hope   everyone   is   enjoying   the   holiday   season   ♡

- a : abella, ardella, ares, aire, arden, ayla, arie, alder, august, aymes, atlas, alina, alora, aryn.

- b : beau, babette, belle, blake, briar, bronte, banks, boston, bishop.

- c : cassiel, clara, celeste, camden, chandler, collins, clay, cartier, chanel, cosima.

- d : dove, dream, danica, delaney, drue, denver, dacey, delcy, darcy, dahlia.

- e : elodie, emory, emrys, elio, elowynne, emerson, evie, edie, estoria, esme, effy, evans.

- f : flora, faye, fallon, ford, forbes, finnick.

- g : gaia, geles, greer, gensen.

- h : hera, hudson, hampton, heath, harlowe.

- i : isla, inara, ilia.

- j : juniper, josefine, jane, jovie, joey.

- k : kiersten, kairo, kaia, kian, kouvr, keanu.

- l : lysander, lanie, lorena, lawson, lux, ludo, lourdes.

- m : marla, marigold, maren, maeve, marlowe, miller, monet.

- n : neah, north, nola, nell, noel, nariah, niamh, nami.

- o : ozzy, orion.

- p : presley, posy, pearl, porter, pacey, paxon.

- r : reed, ruelle, raya, romey, ryker, rhode, reign, rafe, rohan, raiden, remi, rion, rhiannon, reece, river, raine, rumer, reem, rhys.

- s : selah, soraya, sarifya, savion, sloane, sol, soren, scout, saint, striker, serafina, sabina, sutter.

- t : teal, twila, tristan, tobie, tripp, teague, tate.

- v : vienna, vega, vera, vincenzo.

- w : wren, winter, winona, winnie, wilder, weston.

- x : xaverie, xylah, xiomara, xander.

- y : yves, yara.

- z : zephyr.

[nicromancytarot]

DRAWING YOUR FUTURE SPOUSE’S APPEARANCE

This is a general reading based on a collective of people. Take what resonates and leave what doesn’t. If you don’t feel the pile resonates with you, don’t be scared to try another, if it still doesn’t feel right, that’s ok! Maybe our energies aren’t as connected and my readings are not for you.

I do these strictly for fun and educational purposes. I don’t charge for these readings, and I do not fake readings.

PICK A PILE READING

I asked my spirit guides what your future spouse looks like, I’ve drawn a VERY rough sketch for a man and a woman, pick a pile and find out which one is for you!

Pile 1 ———> Pile 2 ———> Pile 3

PILE 1

MALE

- Blonde hair

- Glasses

- Strong muscles (both body and face)

- Prominent Adam’s apple

- Blue eyes (first thing you notice, they could even sparkle a bit)

- Wavy hair

- Fair skin

꒰꒰・┄┄┄┄・♡・┄┄┄┄・꒱꒱

- Teacher / Professor

- Mathematician

- Secure in themself

- Into politics / debating

- Doctor / Nurse

- Scientist

- Public speaker

- Wealthy

- Uranus

- Aquarius

- Calves

- Vegetarian / Strict diet

INITIALS: N, H, S, E, M

FEMALE

- Blonde hair

- Blue (fish) eyes

- Glasses

- Nose piercing (hoop)

- Prominent cheekbones

- Fair skin

- Large bust (posible surgery)

- Small waist

꒰꒰・┄┄┄┄・♡・┄┄┄┄・꒱꒱

- Social media (influencer?)

- Hairdresser

- Slow talker

- Scientist

- Dancer

- Therapist

- Humanitarian worker / Advocate

- Artist

- Something wrong with one of their arms

- Folklore

- Cosplayer

INITIALS: B, A, P, F, E

PILE 2

MALE

- Dark skin

- Dark eyes

- Dark, short hair

- Wears a lot of caps (specifically blue)

- Skinny body

- Sad resting face

- Stubble

- Pretty smile

- Tall (6’ - 6’3)

꒰꒰・┄┄┄┄・♡・┄┄┄┄・꒱꒱

- Rich

- Large house

- British

- Small waist

- Enemies to lovers

- Hugger

- Into styling and fashion

- Chef

- Lawyer / Judge

- Chess

- Army

- CEO

- Producer

INITIALS: S, H, I, D, Z

FEMALE

- Dark skin

- Dark eyes

- Dark hair (wears a straight wig from time to time)

- Long face

- Pretty smile

- Prominent eyelashes

- Neat eyebrows

- Prominent collarbones

- Large bust

꒰꒰・┄┄┄┄・♡・┄┄┄┄・꒱꒱

- Rough past

- Farmer

- Humanitarian worker

- Estate agent

- Emotionally mature

- Carer

- breadwinner

- Protester

- Train conductor

- Likes to go on walks

- In charge

- Police / firefighter

INITIALS: G, R, S, N, T

PILE 3

MALE

- Fair - tan skin

- Light - dark brown hair (possibly ginger)

- Hazel or brown eyes

- Small lips

- Skinny body

- Wears a bandana

- Possible piercings

- Small eyebrows

꒰꒰・┄┄┄┄・♡・┄┄┄┄・꒱꒱

- School

- Part of the LGBTQ+ community

- Many jobs

- A texter

- Understanding

- Into science, possible scientist

- Mechanic

- Author

- Protester

- Football (soccer)

- May have cheated in the past (could do it again)

- Peanut allergy

- Office job

INTIALS: N, P E, R, S

FEMALE

- Fair - tan skin

- Brown or green eyes

- Light brown hair

- European

- Large eyes (Tim Burton)

- Large, dark eyebrows

- Tall (around 6’)

- Small lips

- Hooked nose

- Wears a bandana

꒰꒰・┄┄┄┄・♡・┄┄┄┄・꒱꒱

- Pain

- Possibly born prematurely, or could give birth to a premature baby

- Good with money

- Shy

- Rebellious

- Works in a place where she has to restore things

- Nut allergy (I screamed when I got this for both lmao)

- Possible black sheep of the family

- Contemporary

- Past life soul that owes their life to you in this one

- Strong

- Model

- Coach

- Gets sick a lot

INITIALS: W, A, M, K, T

[m0n0z-brainbuddiez-f0r-y0u]

“ Haiii ! May We Get An Odd Ball Level Alter Of The MAPgical Girl ?! Thank You ! Ac Goes To Pizzaheroess “ - 🎭

diz waz very fun t0 d0 XD i luv da MAPgical gurl :3 i h0pe you liek h0w i did her t00!!!!!

(start pt: this was very fun to do XD, i love the MAPgical girl. i hope you like how i did her too! end pt)

  Ꮚ     MAPGICAL GIRL  ⨟ 

⇨⠀ ⠀ﾉ name:  MAPgical  ,  calypso  ,  celeste  ,  ribbon  ,  mew  ,  hope  ,  masaki (魔咲)  ,  akari (明)  ,  maho (魔法)

⇨⠀ ⠀ﾉ age:  agefluid  ,  MAPage  ,  cuteage  ,  animeage  ,  polyage (16, 18, 19, 20, 25, 28, 30, 100, 153)

⇨⠀ ⠀ﾉ pronouns:  she/her  ,  hy/hym  ,  shi/hir  ,  fwu/fwus  ,  kawa/kawaii  ,  magic/magics  ,  cure/cures  ,  pure/pures  ,  sparkle/sparkles  ,  silly/sillys  ,  sh♡/h♡r  ,  blu/blush  ,  hope/hopes  ,  holy/holys  ,  🩷/🩷s  ,  🪄/🪄s  ,  ✨/✨s  ,  🌸/🌸s  ,  🧁/🧁s  ,  🪽/🪽s  ,  💮/💮s  , 🪷/🪷s

⇨⠀ ⠀ﾉ gender labels:  genderfluid girlflux  ,  genderfae | mapgicalgirlgender

⇨⠀ ⠀ﾉ gender terms:  feminine

⇨⠀ ⠀ﾉ gender presentation:  hyperfeminine

⇨⠀ ⠀ﾉ sexual orientations:  allosexual pan-lesbian

⇨⠀ ⠀ﾉ romantic orientations:  grayromantic pan-lesbian

⇨⠀ ⠀ﾉ source:  introject of MAPgical girl art by pizzaheroess

⇨⠀ ⠀ﾉ sign off:  - 🪄🩷

⇨⠀ ⠀ﾉ role:  artist  ,  mood booster  ,  magician

⇨⠀ ⠀ﾉ cisids:  feminine  ,  species  ,  nekomimi  ,  catgirl  ,  Japanese  ,  Thai  ,  brown skin ,  blue eyes  ,  long hair  ,  pigtails  ,  MAP-colored hair  ,  cat ears  ,  girly-girl  ,  hyperfeminine  ,  hyperplatonic  ,  hyperaffectionate  ,  hyperromantic  ,  hypersexual  ,  HPD  ,  OLD  ,  DPD  ,  BPD  ,  ADHD  ,  magical girl  ,  nipadere

⇨⠀ ⠀ﾉ trisids:  trisfictional

⇨⠀ ⠀ﾉ transids:  transugsm  ,  transpastelgoth  ,  transdecora  ,  translolita  ,  transeyecolorfluid  ,  transidol  ,  transharmless  ,  transyoungvoice  ,  transfreckles  ,  transASD  ,  transderedere  ,  transadored , transsugaraddiction , transdiscordkitten , transschizospec , transheartpupil , transpawpads , transcatwhiskers , transbigeyes , transcupidwings , transfictionkin (hatsune miku, madoka magica) , transextrovert , transfurry , transmarysue , transpowerful , transanime , transmaincharacter , transageregressor , transnightcorevoice

⇨⠀ ⠀ﾉ permaids:  permacute  ,  permadress  ,  permablush  ,  permaMAP  ,  permasilly  ,  perminlove , permahappy , permasmiley , permaoveraccessorized , permapigtails

⇨⠀ ⠀ﾉ nullids:  nulldisabled

⇨⠀ ⠀ﾉ other ids: cupidkin , lovekin , deitykin  |  cuterace  ,  loveracial  ,  xenoJapanese  ,  hypanimvoice  ,  cakescentian  ,  derefluid , loliflux , haircolorfluid (basically flucates between the MAP pride flag colors) , MAP4AAM , panartstyle , Asianfluid

⇨⠀ ⠀ﾉ paras:  kodacon , autololicon  ,  MAP  ,  fictophile  ,  angaliaphile , fictoMAP

⇨⠀ ⠀ﾉ MUDs:  Acute Attach-Love Disorder , Fluid Daydreaming Disorder

⇨⠀ ⠀ﾉ likes:  anime , manga , kawaii aesthetics , cute things , animals , cute things , cartoon shows for kids , frilly poofy dresses

⇨⠀ ⠀ﾉ dislikes:  bigotry , anti-MAPs , close-mindes people , being seen as "dangerous" or a "predator"

⇨⠀ ⠀ﾉ hobbies:  watching anime , reading manga , knitting

⇨⠀ ⠀ﾉ theme song:  love taste - moeshop

⇨⠀ ⠀ﾉ source connection:  100%, very high

⇨⠀ ⠀ﾉ typing quirk:  "I TYPE LIKE THIZ !!! :3 >W<" | "THE QUICK FOX >w< JUMPZ OVA DA LAZZYY FOX!! ^^" | "HIYAAA !!!! IM MAHO HEHE :3c N DIZ IZ MAH TYPING QUIRK  !!!! >:D" | looks of exclamation points, alway types in upper case, adds emoticons, some words are shortened (this = dis, that = dat, the = da, etc etc), and replaces s with z

⇨⠀ ⠀ﾉ aesthetic:  magical girl  ,  yume kawaii  ,  fairy kei  ,  moe  ,  auroracore  ,  animecore

⇨⠀ ⠀ﾉ faceclaim:

art credits to pizzaheroess :3

pt under cut

MAPGICAL GIRL

name: calypso, celeste, ribbon, mew, hope, masaki (魔咲), akari (明), maho (魔法)

age: agefluid, MAPage, cuteage, animeage, polyage (16, 18, 19, 20, 25, 28, 30, 100, 153)

pronouns: she/her, hy/hym, shi/hir, fwu/fwus, kawa/kawaii, magic/magics, cure/cures, pure/pures, sparkle/sparkles, silly/sillys, sh♡/h♡r, blu/blush, hope/hopes, holy/holys, 🩷/🩷s, 🪄/🪄s, ✨/✨s, 🌸/🌸s, 🧁/🧁s, 🪽/🪽s, 💮/💮s, 🪷/🪷s

gender labels: genderfluid girlflux, genderfae | mapgicalgirlgender

gender terms: feminine

gender presentation: hyperfeminine

sexual orientations: allosexual pan-lesbian

romantic orientations: grayromantic pan-lesbian

source  introject of MAPgical girl art by pizzaheroess

sign off: - 🪄🩷

role: artist, mood booster, magician

cisids: feminine, species, nekomimi, catgirl, Japanese, brown skin, blue eyes, long hair, pigtails, MAP-colored hair, cat ears, girly-girl, hyperfeminine, hyperplatonic, hyperaffectionate, hyperromantic, hypersexual, HPD, OLD, DPD, BPD, ADHD, magical girl, nipadere

trisids: trisfictional

transids: transugsm, transpastelgoth, transdecora, translolita, transeyecolorfluid, transidol, transharmless, transyoungvoice, transfreckles, transASD, transderedere, transadored, transsugaraddiction, transdiscordkitten, transschizospe, transheartpupil, transpawpads, transcatwhiskers, transbigeyes, transcupidwings, transfictionkin (rotten girl hatsune miku, madoka magica), transextrovert, transfurry, transmarysue, transpowerful, transanime, transmaincharacter, transageregressor, transnightcorevoice

permaids: permacute, permadress, permablush, permaMAP, permasilly, perminlove, permahappy, permasmiley, permaoveraccessorized, permapigtails

nullids: nulldisabled

other ids: cupidkin, lovekin, deitykin, cuterace, loveracial, xenoJapanese, hypanimvoice, cakescentian, derefluid, loliflux, haircolorfluid (basically flucates between the MAP pride flag colors), MAP4AAM, panartstyle, Asianfluid

paras: kodacon, autololicon, MAP, fictophile, angaliaphile, fictoMAP

MUDs: Acute Attach-Love Disorder, Fluid Daydreaming Disorder

likes: anime, manga, kawaii aesthetics, cute things, animals, cute things, cartoon shows for kids, frilly poofy dresses

dislikes: bigotry, anti-MAPs, close-mindes people, being seen as "dangerous" or a "predator"

hobbies: watching anime, reading manga, knitting

theme song: love taste - moeshop

source connection: 100%, very high

typing quirk:  "I TYPE LIKE THIZ !!! :3 >W<" | "THE QUICK FOX >w< JUMPZ OVA DA LAZZYY FOX!! ^^" | "HIYAAA !!!! IM MAHO HEHE :3c N DIZ IZ MAH TYPING QUIRK  !!!! >:D" | looks of exclamation points, alway types in upper case, adds emoticons, some words are shortened (this = dis, that = dat, the = da, etc etc), and replaces s with z

aesthetic: magical girl, yume kawaii, fairy kei, moe, auroracore, animecore

faceclaim:

art credits to pizzaheroess

[applepi0nes]

˗ˏˋ ꒰ ♡ ꒱ ˎˊ˗

Demetrius Desmond fluff/SFW alphabet Pt. 2

Demetrius Desmond X GN!reader

SFW

L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z

˗ˏˋ ꒰ ♡ ꒱ ˎˊ˗

Guys I wanted to upload the original but it didn't save so this is the second version? And I was kind of pissed so it's not the best.

˗ˏˋ ꒰ ♡ ꒱ ˎˊ˗

L - Love (how do they show you they love you? What’s their love language?)

At first Demetrius will be trying to show you his love in a lot of ways, for example he heard that gift giving makes girls happy from one of his classmates. So the next morning you will have flowers in your doorstep (expect they will be in pot amd not cut, because why would he give you dead flowers?)

He's the type of guy to give your mum an microwave for Christmas, because he noticed that yours is not working while visiting.

M - Morning (How are mornings spent with them?)

He has a strict schedule and wakes up early, so if you are (like me) sleeping longer (or till 11 am) he simply leaves the room and starts his day without you. But if you will ask him to stay in the morning with you sometimes he has no problem with it. Im the start he got bored quickly, so he started to leave some books on his nightstand to read in the mornings.

Also when you wake up with messy hair and droll on your lips he doesn't really mind. In fact he doesn't mind any natural body sounds or projections. Like farts or something. He couldn't care less, you're getting a smooch even with a dried droll on your mouth.

N - Nightmare (what is their worst fear?)

You leaving him, even worse rejecting him in an advanced state of your realitionship, after being married. Demetrius didn't think he would be a bad husband, but after dating you he tends to get insecure sometimes since he started acknowledge couples and people around him more.

Just don't leave him since you are the only person he has.

O - Obvious (How obvious do they make it that they like you?)

People around you wouldn't notice even after marriage I fear. He got trained like some freaking soldier by his father I fear so in public he almost acts like you're a stranger.

But in private he's definitely glued to you. Don't even dare to be on your phone or shift your attention on something, even worse someone else. He's gonna be silently judging you. You talk a lot about future together so you know he's taking this very seriously.

P - Pet Names (what do they like to call you?)

Your name...

M sorry, but he will just copy what he heard from his parents like Dear. But it might expand into My love, my future wife.

P - Patience (how easily do they get angry?)

Demetrius was learned to not show emotions so he's sometimes confused by them, but he would never scream at you or be physically aggressive. He might use stern voice sometimes but that's all.

Overall he's very patient and if he gets rarely annoyed he might go quiet or end your meeting/date whatever you're doing.

Q - Quiet (How are the calm, quiet moments with them?)

I think the only noise he doesn't mind is your babling. He loves quiet sincere moments with you.

R - Rhythm (what songs reminds you of them?)

Headlock - Imogen Heap

Supernova Love - IVE

If only - Dove Cameron

(I have like thousand more in my mind, pls tell me if you want me to share)

S - Secrets (how open are they with you?)

He wouldn't purposely keep secrets, but more tries to protect you from his family problems. Eventually might come to you as a lost puppy and rattle through all his problems.

S - Security (how protective are they? how would they protect their s/o?)

Gets protective very easily and doesn't mind verbally arguing for you. Will not take any disrespect on the future Donovan lady.

T - Time (how long did it take you to get together?)

Either 3 weeks or 3 months, don't ask.

U - Upset (how do they act when you’re upset?)

Quietly waits for you to calm down or come to him. Will not interfere if it's not a very long time.

V - Vanity (how concerned are they with their looks?)

He knows he isn't nor modem nor unattractive. He seems himself as an average looking gentleman.

W - Warrior (how do they feel about you fighting? Would they fight for you, beside you, etc?)

Idk why but i just got the imagine of Demetrius telling the teacher that you git into fight

Anyways, in terms of for your love he would probably have to start with an disagreement with his father. There are two options

Either Donovan couldn't care less and only cares about if you are able to birth children.

Or he will not accept you if you're not noble and trained enough. Definitely would prefer if you obeyed instead of being a brat.

Would fight for you, but wouldn't sacrifice his whole family's legacy for it.

X - X-Ray (how well are they able to read you?)

At the start he is going to be a lot confused, but later in the realitionship he will be reading you like an open book.

Y - Yearn (What do they do when they miss you?)

A lot, it geniuly starts bothering him how much he starts being dependent on you.

Z- Zzz (How do they act when they get sleepy? How is it sleeping in the same bed?)

Sleeps like those dead people in coffin. Later tries to imitate your sleeping habits and realizes his sleeping wasn't the most comfortable before. Doesn't really cuddle while sleeping but will hold your hand.

If he gets sleepy you won't figure it out till he tells you. He always looks like he fights sleep.

˗ˏˋ ꒰ ♡ ꒱ ˎˊ˗

I'm gonna write Demetrius's BD (as Becky's older sister series) and another surprise drabble/fic later.

˗ˏˋ ꒰ ♡ ꒱ ˎˊ˗

[airybcby]

Spotify Wrapped 2024 Event Masterlist

( bllk boys x reader )

♡ a/n — i had so much fun with this event (it is now closed :) )

♡ content — click on the fics and read the content!

♡ synopsis — i took people's spotify wrapped top artist/song and assigned them a blue lock character and scenario!

click ' read more ' to see all of the links to these fics !

✧ leave me high and dry ✧ e. otoya

✧ to be nothing with you ✧ r. mikage

✧ rage beneath the mountains ✧ r. itoshi

✧ break my heart and start a fire ✧ c. hyoma

✧ you need a seat? i'll volunteer ✧ o. aiku

✧ my place by the ring ✧ a. ness

✧ pain always runs free ✧ r. shidou

✧ back to you ✧ i. yoichi

✧ stick by me, close by me ✧ y. kenyu

✧ come out and haunt me ✧ m. kaiser

✧ if it's forever, it's even better ✧ r. kunigami

✧ wanna take a bite ✧ s. itoshi

✧ close to something real ✧ i. niko

✧ feel it all the same ✧ g. gagamaru

✧ i'll just let you live ✧ j. raichi

✧ streaks of perfection ✧ j. aryu

✧ let's not even try ✧ t. karasu

✧ just let me be ✧ r. kunigami

✧ leave the scent of your cologne ✧ e. otoya

✧ that's how we do that ✧ s. barou

✧ look at me back ✧ z. tsurugi

✧ getting on a mountain ✧ c. chevalier

✧ i go back to you ✧ s. shuto

✧ dream-came-trued it for ya ✧ r. shidou

✧ take your burden over there ✧ r. itoshi

✧ we've always been connected ✧ n. seishiro

✧ lock me down tonight ✧ o. aiku

✧ tell me, what's changed? ✧ s. itoshi

✧ i didn't say a thing ✧ b. shoei

✧ the moment's already passed ✧ y. kenyu

✧ drown out the doubt ✧ m. bachira

✧ a bit different ✧ i. yoichi

✧ all dogs tuck their tails ✧ r. mikage

✧ to see the truth ✧ h. yo

✧ don't run too fast ✧ n. seishiro

✧ you'll always be mine ✧ r. kunigami

✧ bite my lip just for the taste ✧ r. shidou

✧ a blessing in disguise ✧ k. yukimiya

✧ i'm wishing he was you instead ✧ s. itoshi , r. itoshi

✧ even when i see it ✧ m. kaiser

✧ if i could figure it out ✧ e. otoya, t. karasu

✧ only getting older ✧ h. yo

✧ forbidden fruit ✧ r. mikage , n. seishiro

✧ just stay with me ✧ r. shidou

✧ i want nothing more ✧ r. kunigami

✧ say what we want, say what we feel ✧ i. yoichi

✧ shine it down here ✧ s. itoshi

✧ nothing happened in the way i wanted ✧ o. aiku

✧ come on over and ruin my life ✧ r. shidou

✧ stop the world just to stop the feeling ✧ e. otoya

[the-s1lly-corner]

HAZBIN MASTERLIST

Disclaimer; let it be known that I do not enjoy Viv as a person. However I cannot deny that as the show stands, without taking any of the creators in it into consideration, I do enjoy it. I find that it may be better for me mentally to just let the brainrot happen rather than suppress it. With that said, let's get to the Masterlist!

Like the other lists, you can find all the appropriate links here! Remember to check my bio for status updates on requests

If any of the links are incorrect let me know!

As of April 1st 2024 this list is complete

CHARLIE:

Platonic charlie x sleepy!fallen angel!reader

Trope 1 w/ charlie

B c d with charlie

ANGEL DUST:

Angel Dust x fallen seraphim!reader

J K X w/ Angel

VAGGIE:

Vaggie x anxious!reader

HUSK:

Valentines w/ Husk

Husk x entertainer!reader

Platonic husk w/ reader seeing him as a father figure

Prompts 2 and 9 for husk

Husk resting his head on your lap

Husk trying to talk the reader out of asking out alastor

SIR PENTIOUS:

Snuggling w/ a warm reader

Valentine's w/ Sir Pentious

General fluff hcs

Sir Pentious x Gardener!reader

Sir Pentious x inventor!reader

Sir pentious x powerful but uninterested!reader

Sir pentious defending the reader

Trope 3 w/ Sir pentious

Prompt 1 w/ pentious

Sir pentious x flirty!reader

Platonic sir pentious x demon kid reader

C k p with sir pentious

Redeemed pentious x angel reader

Pentious x anxious reader

Q-Z + bonus prompt with pentious

Tropes 1-4 with sir pentious

A-P with sir pentious

Pentious x slasher fan!reader

Pentious x oc (raffle winner)

Pentious bring comforted by oc (raffle winner)

Pentious x dancer!reader

ALASTOR:

Valentines w/ Alastor

Alastor x high energy!fighter!reader

Resting your head on Alastors lap

Alastor and the reader dancing

Alastor x reader like rosie

Prompts 5 and 7 w/ alastor

Prompts 8 and 12 w/ alastor

K c p with alastor

A J I with alastor

Alastor x reader who loves touch

Platonic alastor x quiet child!reader

36 38 40 with alastor

LUCIFER:

Platonic father figure!lucifer x reader

Platonic Lucifer x fallen angel!reader

Baking apple cookies for Lucifer

Z with Lucifer

I R Y with Lucifer

W with Lucifer

ADAM:

Y J I for adam

A and c for adam

Adam x male!giant!seraphim!teader

♡ and T for Adam

Z for adam

N and P for Adam

Reader finding out about the exterminations

Adam reacting to Lucifer flirting with the reader

Adam x reader w/ chronic hanahaki

Adam x feminine trans male reader

Prompts 32 and 38 with Adam

Platonic adam x angel!kid!reader who is missing a wing

3 11 36 with Adam

L for adam

LUTE:

C I J for Lute

C E I for lute but its post season 1 finale

Y U Z with lute

A L T with lute

Lute x cupid!reader

Prompt 38 with Lute

Prompts 6 and 10 with lute

VOX:

Valentine's w/ vox

Platonic vox x kid!hyperactive!reader

Vox x influencer!reader

A l q with vox

Platonic father figure vox x AFAB!reader

Vox x reader who watches kids cartoons

CHERRI BOMB:

C K X for cherri bomb

Cherri x autistic!reader

ROSIE:

A L R w/ Rosie

36 38 40 with rosie

MULTI:

Adam x reader x lute but lute is jealous

Adam and Lute x kind!angel!reader

Charlie vaggie and angel celebrating valentines

Platonic adam and rosie x hyper!kid!reader

Making heart shaped cookies for the cast 1/?

Hugging the cast 1/?

Heart shaped cookies part 2/?

Hugging the cast part 2/?

Adam and Lucifer x reader who likes watching kids shows

Platonic Charlie, vaggie, and angel dust x new sinner!reader

Verosika, vox, chaz, barbie, lute and striker being called pookie bear by their partner

Various HH characters x autistic reader

Angel, husk, alastor, and pentious x kind sinner!reader

[algebraic-dualist]

Universal Algebraic Geometry, Part 1

In this post I recall a number of basic ideas from universal algebra in order to start setting up a framework for studying the algebraic geometry of arbitrary algebraic objects.

For our purposes, an algebra is just a set equipped with some operations. We assume that the set of operations has been fixed. Given an algebra A alongside an operation ♡ we write ♡ᴬ for the definition of that operation on the algebra A, or just ♡ when ambiguity does not result. Our notion of a homomorphism is as follows:

Definition: A homomorphism f from an algebra A to an algebra B is a function f : A -> B such that for each n-ary operation ♡ alongside elements x₁, ..., xₙ ∈ A it follows that f(♡ᴬ(x₁, ..., xₙ)) = ♡ᴮ(f(x₁), ..., f(xₙ))

Kernels and Congruences

Definition: A congruence θ on an algebra A is an equivalence relation such that for any (x₁, y₁) ∈ θ, ..., (xₙ, yₙ) ∈ θ and n-ary operation ♡ it follows that (♡ᴬ(x₁, ..., xₙ), ♡ᴬ(y₁, ..., yₙ)) ∈ θ. We write Cgr(A) for the set of congruences on A.

Example: The maximal congruence ∇ on A is just A × A.

Example: The minimal congruence ∆ on A is just { (x, x) | x ∈ A }.

Example: Any arbitrary intersection of congruences on A is a congruence on A. In particular, we can form the intersection of all congruences on A containing any arbitrary subset R of A × A in order to obtain the minimum congruence containing R. In particular, choosing R to be the union of two congruences, we get a meet of congruences.

In the case of a group, it follows that (x, y) ∈ θ if and only if (x - y, 0) ∈ θ hence a congruence is completely determined by the set { x | (x, 0) ∈ θ }. In other words, by a normal subgroup. So congruences are just the data of a normal subgroup. Similar remarks apply to ideals of rings.

Kernels of homomorphisms are a particularly important source of congruences on algebras:

Definition: The kernel of a homomorphism f : A -> B is denoted by ker(f) and defined by setting ker(f) := { (x, y) | f(x) = f(y) }.

Lemma: Given a homomorphism f : A -> B it follows that ker(f) is a congruence on A. Proof:

Given x ∈ A it follows that f(x) = f(x) hence (x, x) ∈ ker(f).

Given x, y ∈ A such that (x, y) ∈ ker(f) it follows that f(x) = f(y), which is to say f(y) = f(x) hence (y, x) ∈ ker(f).

Given x, y, z ∈ A it such that (x, y) ∈ ker(f) and (y, z) ∈ ker(f) it follows that f(x) = f(y) = f(z) hence (x, z) ∈ ker(f).

Given (x₁, y₁) ∈ ker(f), ..., (xₙ, yₙ) ∈ ker(f) and n-ary operation ♡ it follows that f(xₖ) = f(yₖ) for each k, thus by the homomorphism property f(♡ᴬ(x₁, ..., xₙ)) = ♡ᴮ(f(x₁), ..., f(xₙ)) = ♡ᴮ(f(y₁), ..., f(yₙ)) = f(♡ᴬ(y₁, ..., yₙ)) showing that (♡ᴬ(x₁, ..., xₙ),♡ᴬ(y₁, ..., yₙ)) ∈ ker(f).

QED.

Theorem: Given a homomorphism f : A -> B alongside a congruence θ on B it follows that the preimage f*(θ) := { (x, y) ∈ A | (f(x), f(y)) ∈ θ } is a congruence on A. Proof: 1. Given x ∈ A, as θ is reflexive it follows that (f(x), f(x)) ∈ θ hence x ∈ f*(θ). 2. Given (x, y) ∈ f*(θ) it follows that (f(x), f(y)) ∈ θ. As θ is symmetric it follows that (f(y),f(x)) ∈ θ, thus (y, x) ∈ f*(θ). 3. Given (x,y) ∈ f*(θ) and (y,z) ∈ f*(θ) it follows that (f(x), f(y)) ∈ θ and (f(y), f(z)) ∈ θ. As θ is transitive it follows that (f(x), f(z)) ∈ θ hence (x, z) ∈ f*(θ). 4. Given (x₁, y₁) ∈ f*(θ), ..., (xₙ, yₙ) ∈ f*(θ) alongside an n-ary operator ♡ it follows that (f(x₁), f(y₁)) ∈ θ, ..., (f(xₙ), f(yₙ)) ∈ θ, hence as θ is a congruence (♡(f(x₁), ..., f(xₙ)), ♡(f(y₁), ..., f(yₙ))) ∈ θ. Being that f is a homomorphism, this means (f(♡(x₁, ..., xₙ)), f(♡(y₁, ..., yₙ))) ∈ θ showing that (♡(x₁, ..., xₙ), ♡(y₁, ..., yₙ)) ∈ f*(θ). QED.

Therefore, every homomorphism f : A -> B induces a map f* : Cgr(B) -> Cgr(A). In fact, congruences organise themselves into a lattice, and this map f* is a homomorphism of lattices. But for the moment, we will not worry about that.

Composite Kernel Lemma: Given homomorphisms f : A -> B and g : B -> C it follows that

ker(g ∘ f) = f*(ker(g)).

Proof:

Observe that (x, y) ∈ ker(g ∘ f) if and only if g(f(x)) = g(f(y)), which is the case if and only if (f(x), f(y)) ∈ ker(g), which is the case if and only if (x, y) ∈ f*(ker(g)).

QED. Corollary: ker(f) = f*(∆). Proof: ker(id ∘ f) = f*(ker(id)) = f*(∆). QED.

Quotients of Algebras

Given a congruence θ on an algebra A it is the possible to construct the quotient algebra A/θ whose elements are equivalence classes of elements of A under the congruence θ. Sending every element to its equivalence class under θ gives a homomorphism π : A -> A/θ which we refer to as the canonical projection of θ.

Theorem: Given a congruence θ on an algebra A it follows for every homomorphism f : A -> B with θ ⊆ ker(f) that there exists a unique injective morphism g : A/θ -> B such that f = g ∘ π.

Proof: Observe that π(x) = π(y) iff (x, y) ∈ θ, which as θ ⊆ ker(f) implies f(x) = f(y). Therefore, it is well-defined to construct g by setting g(π(x)) = f(x). One can check that this works. QED.

Homomorphism Theorem: Given a surjective homomorphism f : A -> B it follows that there exists an isomorphic g : A/ker(f) -> B such that g ∘ π = f.

Proof:

Applying the prior Theorem there exists a unique injective morphism g : A/ker(f) -> B such that g ∘ π = f. Observe that as f is surjective, it then follows that g is surjective.

QED.

Hereditary Classes of Algebras

Recall that the prime ideals 𝔭 of a ring R are exactly those ideals 𝔭 such that R/𝔭 is an integral domain. Notice that being an integral domain amounts to satisfying a universal axiom, namely xy = 0 implies x = 0 or y = 0. Hence, integral domains are closed under moving to subalgebras, and the property of being an integral domain is preserved by isomorphisms.

Definition: A class K of algebras is hereditary iff it is closed under subalgebras and isomorphisms. Given a universal class K we say that a congruence θ on an algebra A is a K-congruence iff the quotient algebra A/θ belongs to the class K.

Theorem: Given a hereditary class K alongside a homomorphism f : A -> B it follows for every K-congruence θ on B that f*(θ) is a K-congruence on A.

Proof:

Consider a homomorphism f : A -> B alongside a K-congruence θ on B. It follows that f*(θ) is a congruence on A, so it suffices to demonstrate that it is a K-congruence. Recalling our canonical projection π : B -> B/θ and our Composite Kernel Lemma, it follows that ker(π ∘ f) = f*(ker(π)) = f*(θ). Therefore, the morphism π ∘ f : A -> B/θ factorises through a unique injective morphism g : A/f*(θ) -> B/θ. This means that A/f*(θ) is isomorphic to a subalgebra of B/θ. As θ is a K-congruence it follows that B/θ belongs to K, which as K is a hereditary class then implies that A/f*(θ) belongs to K, so that f*(θ) is then a K-congruence.

QED.

Corollary: Preimages of prime ideals are prime ideals.

[caribaheine]

i just hit 1k so here’s a little follow forever/mutual appreciation! thank you so much to all my lovely followers and mutuals, i can’t believe it!! i’ve tried to include as many people as i can think of but so sorry if i’ve missed anyone ♡

+ moots can send a 🌸 for a blog compliment!

a b c d

@aimlocked @aino-minakos @allidoistry @another-aveng3r @anyataylorjjoy

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p q r s

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t u v w x y z

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@williamprvtt @youareonyourownkid @yourfreezing-hands @yournowheregirl @yuiaka

@zensdaya

[mamadovie]

I sent this in to your old blog but can you do a NSFW alphabet for Vilkas please 🙏🏻🥺

.𖥔 ݁ ˖⠀ ⠀ ⠀𐙚 VILKAS.

A N: We are so back with the NSFW Alphabet's, I've missed these. ♡

A B O U T: A list from A-Z of all the ways Vilkas is sexually.

W A R N I N G S: NSFW CONTENT, MDNI INTERACT.

A = Aftercare (what they’re like after sex)

Vilkas — as a general note — is a rough man. He doesn't own much gentleness in him, not whilst fighting nor when he's pinning you down into the sheets — but in those moments afterwards, he's the sweetest and kindest. He's tired, and he wants nothing more than to relax with you. After a nice bath (if you both have enough energy...) he will lay down with you, enjoying the feeling of his hands roaming your skin and your fingers through his hair.

B = Body part (their favorite body part of theirs and also their partner’s)

On him: his dick. Simple. He likes how it makes you feel. He likes how it allows him to feel when he's deep inside of you.

On you: your back. He loves to trace his fingers across your back. He's got it memorised in the back of his mind, and his favourite view is your back as he's going to pound town. ♡

C = Cum (anything to do with cum, basically)

He's a clean man, I'd say. He may be a dirty bastard, but he's still a civilised member of Whiterun — he prefers to cum inside of you rather than make a mess of it. He also views it slightly disrespected to cum on you, he's a gentleman like that.

D = Dirty secret (pretty self-explanatory, a dirty secret of theirs)

He loves the idea of fucking you in a place where you could potentially get caught, the excitement and recklessness is what gets him going.

E = Experience (how experienced are they? do they know what they’re doing?)

He's experienced! He acts like he isn't. He never brings up his past sexual partners. He isn't like that. But he shows his experience in his actions. He knows what he's doing.

F = Favorite position (this goes without saying)

Since he loves your back so much, he loves back shots. Or if he's lazy and tired, reverse cowgirl. He also likes to watch your ass bounce in those positions.

G = Goofy (are they more serious in the moment? are they humorous? etc.)

Does he look goofy to you? No. He doesn't.

H = Hair (how well groomed are they? does the carpet match the drapes? etc.)

On him: he maintains it. But he doesn't really care.

On you: he doesn't give a single shit. He's prepared to go foraging if you don't shave.

I = Intimacy (how are they during the moment? the romantic aspect)

He fucks hard, but he is a romantic to his core, you just need to dig deep enough.

J = Jack off (masturbation headcanon)

He doesn't masturbate often, never has. He's always busy or generally not interested enough to do it.

K = Kink (one or more of their kinks)

Vilkas is a choker. He likes impact play and loads of teasing. He's also into edging, you of course.

L = Location (favourite places to do the do)

Anywhere. That's it. As long as he's with you, he's down.

M = Motivation (what turns them on, gets them going)

After a bad day, he's ready to fuck it out of his system. But he gets turned on simply by you biting your lip, stretching, and showing your stomach. Simple acts that are innocent.

N = No (something they wouldn’t do, turn offs)

He's possessive. Nobody else can touch you.

O = Oral (preference in giving or receiving, skill, etc.)

He prefers to receive it, but he's always down to go down under, too. He's very talented in that area, and when he does it, he can't hold himself back from touching himself as he works his mouth on you.

P = Pace (are they fast and rough? slow and sensual? etc.)

Fast and rough. He's a pounder.

Q = Quickie (their opinions on quickies, how often, etc.)

He prefers actual sex, quickies aren't for him. He hates to feel rushed. He wants to take you in complete and for you to take him in... literally.

R = Risk (are they game to experiment? do they take risks? etc.)

I'd say he does take risks, but nothing that will hurt you or ruin both of your reputations (like actually getting caught...)

S = Stamina (how many rounds can they go for? how long do they last?)

He has a lot of stamina, and he can pace himself, but he needs to recharge afterwards.

T = Toys (do they own toys? do they use them? on a partner or themselves?)

He never really thought about them, but if you asked about it, he'd get into it. He'd enjoy the use of them, too.

U = Unfair (how much they like to tease)

He's a massive tease. He likes to watch your reactions.

V = Volume (how loud they are, what sounds they make, etc.)

He's not that loud. He's a grunter and buries his face into your neck to hide his moans.

W = Wild card (a random headcanon for the character)

Vilkas is obsessed with the sounds you make, so he will always aim to make you loud and begging for him.

X = X-ray (let’s see what’s going on under those clothes)

Big? Yes. Thick? Yes. Veiny? Yes. He's not a monster, but he's definitely got that D, and yes, the D is fire.

Y = Yearning (how high is their sex drive?)

Average, I'd say. He's always ready if you are. But it's rare that he's the one to initiate it.

Z = Zzz (how quickly they fall asleep afterwards)

Hella fast. He's ready to sleep like he's never slept...

[agendabymooner]

when danny said ! daniel r. x ofc (country singer!ofc)

summary: just a series of tweets in which daniel said a lot of things. OR sadie samuels wrote the ‘golden hour’ album about him but didn’t know about it.

content warning: use of explicit language, fluff, based on kacey musgrave’s discography (golden hour album), holiday special-ish, short and nonsense tbh, smau

💌re:moony’s planner request: would you ever do a danny ric fic with singer reader using kacey musgraves songs? feel like that really fits his aesthetic 🫶🏼 her golden hour album is a masterpiece

note: he’s giving butterflies by kacey musgraves tbh enjoy xx

a - n masterlist // o - z masterlist

if you’d like to get on one of my taglists, check this post out

tagged danielricciardo

liked by landonorris, maxverstappen1, scottyjames31

scottyjames31 #fakeass

sadiesamuels that’s your best friend btw

scottyjames31 not with that attitude

landonorris #fakeass

user1 he’s one of them insta influencers 🙃

sadiesamuels real 🙏

user1 omg hi mom

marenmorris 😬😬 put him in a mechanical bull and see how he reacts liked by sadiesamuels

sadiesamuels it’s as real as it can get maren 😫 he didn’t even flinch 😭😭 he knows rodeo better than i do and i came from texas

maxverstappen1 i’ve always known he’s a lying cheater 🙂

sadiesamuels the things that we do for money 😇

danielricciardo a hater? at 9 in the morning? what a christmas morning 🤩 liked by sadiesamuels

sadiesamuels ofc baby 😌

danielricciardo aren’t i blessed

tagged sadiesamuels

liked by troyesivan, scottyjames31, pierregasly

alphataurif1 a very sadie christmas 🎅

lukecombs a beaut 🙌

danielricciardo indeed 😍

scottyjames31 a content i live for 🦋✨

danielricciardo oh now you’re hopping the train? 🙂🙃

scottyjames31 we all know which ricciardo i love the most

danielricciardo i know 🥹 you tell me everyday

user1 lmaooooooo 😭😭😭 happy holidays to danny ig

user2 she wrote the star-crossed album for you btw

danielricciardo 😊😊 i know she did

sadiesamuels 🎄🤠 liked by daniel3.jpg

danielricciardo best gift ever 🫶

♡ moony’s reminder 🅶 (general): @hiraethrhapsody @avaleineandafryingpan @topguncultleader @enhacolor @roseandtulips @woweewoowa @magnummagnussen @happy-nico @architect-2015

[promotionbnha]

BNHA/MHA BLOG LIST (Fall-Winter of 2024) (1/1)

This list will contain blogs that contain SFW CONTENT!

PLEASE RESPECT EACH INDIVIDUAL'S BLOG'S RULES THAT ARE PLACED. 

Here is the link to MATURE BLOGS

This blog list does contain Character x reader or Character X OC TO BOTH.

Do let me know if I got any labels wrong for anyone, do correct me.

Labels: 

[ ~~ ] = Fluff or Angst only (SFW pretty much)

[ …. ] = Haven’t posted NSFW/unsure of posting it

 ( ? ) = Trying to figure it out

Please let me know if you'd like to add a different label that wasn’t provided.

Label with Symbol, I am not sure what the label of your blog is. Please contact me if you have it. ♡—♡—♡—♡—♡—♡—♡—♡—♡—♡—♡

B

@bbluefllame [ ~~ ]

C

@ceciliac4 [ ~~ ]

D

@dekustowel [ ~~ ] [ …. ]

K

@kateschi [ ~~ ]

@kitkat13001 [ ~~ ]

L

@lilacgaby [ ~~ ]

@lilbeatlebear [ ~~ ]  ( ? )

@littlebnha E

@loveriotss [ ~~ ]

M

@makethiscanon [ …. ]

@miyamoratsumuu [ ~~ ]

N

@newtthetranswriter [ ~~ ] [ …. ]

R

@redvdress [ ~~ ] ? 

@rueclfer [ ~~ ]

S

@seiwas [ ~~ ]   ( ? )

@simplybakugou [ ~~ ]

@sipsteainanxiety [ ~~ ]

@suksatoru [ ~~ ] [ …. ] 

T

@the-lupine-sojourner [ ~~ ]

W

@watu2ka [ ~~ ]

@what-the-stories-have-foretold [ ~~ ]

@whenanafallsinlove [ ~~ ]

Z

@z-iridest [ ~~ ]

♡---♡---♡---♡---♡---♡---♡---♡---♡---♡---♡

Commission(s) Recommendation:

Artist:

@54prowl (Contact them for more details.) (Closed at the moment.)

If they are not open or closed, DO CORRECT ME!

♡—♡—♡—♡—♡—♡—♡—♡—♡—♡—♡

DO NOT TAKE THESE AMAZING CREATORS LIGHTLY!

They are creating in their own time.

They work really hard on their craft!

Comments or simple reactions (e.g., I love this!, etc.) can go a long way in brightening a creator's day.

Remember to show appreciation to your favorite creators!

AND AGAIN, RESPECT THEIR RULES!

[yanderecrazysie]

Twisted Wonderland

˚*･Key･*˚

Headcanons

Fics

Profiles and Alphabets

💖- NSFW

🤗 - Collab

☾ M U L T I ☽

Twisted Zoo: Prologue, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12; Endings: 1, 2, 3, 4, 5, 6, 7, 8, 9

☾ A C E ♡ T R A P P O L A ☽

Best Friends

Yandere Profile

☾ A Z U L ♡ A S H E N G R O T T O ☽

Crimson Crown

Quote HCs

Mermay Day 3: Drowning

Tentalophobia 💖

☾ D E U C E ♡ S P A D E ☽

Best Friends

Quote HCs

Mermay Day 10: Diving

☾ J A D E ♡ L E E C H ☽

Quality Mountain Time

Unravel

☾ F L O Y D ♡ L E E C H ☽

Mermay Day 5: Beached

Unravel

☾ L E O N A ♡ K I N G S C H O L A R ☽

Begonia

Fluffy Jealousy

Yandere Diagnosis Report

☾ M A L L E U S ♡ D R A C O N I A ☽

A Dragon's Hoard: Part 1, 2

☾ R I D D L E ♡ R O S E H E A R T S ☽

First Christmas in Captivity

Rulebreaker Part 1, 2

☾ V I L ♡ S C H O E N H E I T ☽

Fame Prompt for Tropetember

Mirror, Mirror

☾ J A M I L ♡ V I P E R ☽

Mermay Day 7: Deep Sea

☾ K A L I M ♡ A L - A S I M ☽

Gold

☾ N E I G E ♡ L E B L A N C H E ☽

Stolen Spotlight

[sunniewr]

o𝔩𝔡⠀⠀⠀𝖒o𝔫𝔢𝒚⠀⠀⠀محبو⠀⠀⠀!!⠀⠀⠀🌟。 ⠀𝗁𝔢ɑrt

como começ⍺r esse texto . . eu estou no tumblr desde 2019 e eu nunc⍺ im⍺ginei que ⍺lgum blog meu cheg⍺ri⍺ ⍺os 3k. chegou ⍺ minh⍺ vez de comemor⍺r ! eu nunc⍺ fui bo⍺ edit⍺ndo, ⍺té hoje me considero péssim⍺, porém estou sempre tent⍺ndo ⍺prender e evoluir, por isso peço p⍺ciênci⍺ comigo ! :( f⍺zer moods sempre foi muito divertido e é por isso, que mesmo já est⍺ndo n⍺ f⍺culd⍺de e qu⍺se não tendo tempo p⍺r⍺ n⍺d⍺, ⍺ind⍺ continuo f⍺zendo moodbo⍺rds. é ⍺lgo que eu me divirto muito f⍺zendo e me f⍺z fugir do estresse. tudo começou com pesso⍺s que eu er⍺ próxim⍺ em 2018/2019 e isso só fez eu me ⍺profund⍺r m⍺is nesse mundo do tumblr e mesmo flop⍺ndo muit⍺s vezes, eu não me importo. eu estou feliz do mesmo jeito ! por receber pedidos, por receber comentários elogi⍺ndo meu tr⍺b⍺lho . . pequen⍺s cois⍺s me deix⍺m feliz pr⍺ c⍺r⍺mb⍺ ! ♡ então termino ⍺gr⍺decendo por todo esse c⍺rinho d⍺s pesso⍺s que me seguem e me ⍺poi⍺m todos os di⍺s. espero algum di⍺ ser ⍺ inspir⍺ção como pesso⍺s já for⍺m pr⍺ mim. m⍺is um⍺ vez, obrig⍺d⍺ por f⍺zerem eu re⍺liz⍺r meu sonho de ter um blog "gr⍺nde" no tumblr. nyny ⍺m⍺ vocês! 🤍

aqui alguns dos blogs que eu mais gosto! óbvio que tem muito mais, porém iria ficar muito extenso colocar todos aqui, mas cada blogzinho é muito especial para mim. <3

@soocats @flubbe-web @harumi-web @tata-kitty @charlieweb @rubyjane @jjkills @nick-web @02h00mn @moonygx @louiseffetin @max1mus @ph4sies @eoante @rennezinha @bonnie-bweb @dakorai @rmarlt @d-aezs @bunnilyz @strllar @devil1sh @kooprrhia @tsuki-web @bloomnshie @lestrange-or-xuxu @lizzie-attack @hykali @k1rsos @zuhahana @rubyjane @chaemingly @taevvvvvvv @delistelar @vvampics @skyierl @alekaos

[seyyahh-h]

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