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

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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  1. 2 weeks ago
    Anonymous
  2. 2 weeks ago
    Anonymous

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

    • 2 weeks ago
      Anonymous

      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

      • 2 weeks ago
        Anonymous

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

        • 2 weeks ago
          Anonymous

          you're right I apologize

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

          • 2 weeks ago
            Anonymous

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

          • 2 weeks ago
            Anonymous

            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.

          • 2 weeks ago
            Anonymous

            Kino

  3. 2 weeks ago
    Anonymous

    https://zh.wikipedia.org/zh-tw/%E4%B8%89%E5%85%83%E6%95%B8
    hope you can read Chinese!

  4. 2 weeks ago
    Anonymous

    a^2 = B
    aB = a a^2
    Ba = a^2 a
    aB != Ba
    How is (a a^2) != (a^2 a)?

    • 2 weeks ago
      Anonymous

      we also have that
      aa = B
      aaw = Bw
      a = 1
      and all of them are 1. So they're just 1.
      Plz explain op

  5. 2 weeks ago
    Anonymous

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

    • 2 weeks ago
      Anonymous

      It's definitely not a group at least.

    • 2 weeks ago
      Anonymous

      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

      a^2 = B
      aB = a a^2
      Ba = a^2 a
      aB != Ba
      How is (a a^2) != (a^2 a)?

      , we're looking at a loop at most

      • 2 weeks ago
        Anonymous

        [...]

        we also have that
        aa = B
        aaw = Bw
        a = 1
        and all of them are 1. So they're just 1.
        Plz explain op

        a^2 = B
        aB = a a^2
        Ba = a^2 a
        aB != Ba
        How is (a a^2) != (a^2 a)?

        incorrect

        • 2 weeks ago
          Anonymous

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

          • 2 weeks ago
            Anonymous

            >Well, I'm sold.
            incorrect

            >Definitely more convincing
            correct
            >than any
            incorrect

          • 2 weeks ago
            Anonymous

            [...]
            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

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

          • 2 weeks ago
            Anonymous

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

          • 2 weeks ago
            Anonymous

            >I'm not denying that trionions in general can exist
            Huh? Why not? Show me a useful formulation of trionions

          • 2 weeks ago
            Anonymous

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

            https://zh.wikipedia.org/zh-tw/%E4%B8%89%E5%85%83%E6%95%B8
            hope you can read Chinese!

            nobody said anything about them having to be useful though

          • 2 weeks ago
            Anonymous

            hate to burst your bubble

          • 2 weeks ago
            Anonymous

            nobody said that they had to be a division algebra

          • 2 weeks ago
            Anonymous

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

          • 2 weeks ago
            Anonymous

            >Oh so trionions...are just number field extensions?
            Not even a ring since multiplication doesn't form a group.

          • 2 weeks ago
            Anonymous

            https://i.imgur.com/PzV1z3e.png

            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

            relevant powerpoint

        • 2 weeks ago
          Anonymous

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

  6. 2 weeks ago
    Anonymous

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

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