My abstract algebra final is in one hour and I STILL for the life of me can't wrap my head around trionions

fricking help me out here guys

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# My abstract algebra final is in one hour and I STILL for the life of me can't wrap my head around trionions

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My abstract algebra final is in one hour and I STILL for the life of me can't wrap my head around trionions

fricking help me out here guys

I can find absolutely nothing about this on google so I can't help you, even image search returns nothing

why would you try to teach others about something youre not an expert in? You're like those teachers that stay one lesson ahead of the students

Doesn't hurt to include a different point of view that isn't going nuts from doing algebra all night

you're right I apologize

now please explain how it works like I'm bright high schooler

I don't know because I can't find anything on trionions, I'd like to study this topic myself

It's arcane esoterica developed by the bourbaki group. the nazi's paramilitary research group, facing imminent defeat against the allies, used it as a last ditch effort to open a portal into the anti-platonic realm. it was banned after the war and considered verboten. grothendieck commited suicide after reading it. you should stay away if you know what's good for you.

Kino

https://zh.wikipedia.org/zh-tw/%E4%B8%89%E5%85%83%E6%95%B8

hope you can read Chinese!

a^2 = B

aB = a a^2

Ba = a^2 a

aB != Ba

How is (a a^2) != (a^2 a)?

we also have that

aa = B

aaw = Bw

a = 1

and all of them are 1. So they're just 1.

Plz explain op

Can someone explain what this thing is? I don’t get it.

It's definitely not a group at least.

Absolute schizo nonsense, is what it is.

ω acts as an inverse to all of them, which, by definition, implies that they're all congruent, but that also implies that they should commute with each other, which they are asserted to not do

if we ignore that bit and focus on the relations between α,β, and γ, then given the lack of associativity (or even alternativity) as demonstrated by

, we're looking at a loop at most

incorrect

Well, I'm sold. Definitely more convincing than any of the mathematical arguments presented

>Well, I'm sold.

incorrect

>Definitely more convincing

correct

>than any

incorrect

I'm sorry if I trust the words of an established math professor over some internet randos

I'm not denying that trionions in general can exist, but the trinity nonsense in the OP isn't it

>I'm not denying that trionions in general can exist

Huh? Why not? Show me a useful formulation of trionions

well if someone took the time to write up an entire Chinese Wikipedia article on them...

nobody said anything about them having to be useful though

hate to burst your bubble

nobody said that they had to be a division algebra

Oh so trionions, and quaternions, are just number field extensions?

>Oh so trionions...are just number field extensions?

Not even a ring since multiplication doesn't form a group.

relevant powerpoint

Can I subscribe to your math blog? Or perhaps a newsletter?

you sure do seem to like talking about yourself on social media