List questions from nonassociative-algebras

Published on 17 Jul 2020 - 0:18

60

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About 2 operators such that $X(Y+Z) = (XY)+(X*Z)$ , $W+(U+V)\neq (W+U)+V$

Published on 29 Jan 2023 - 15:50

57

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What kind of algebra and how can I learn its properties

Published on 08 Mar 2023 - 14:47

55

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Is every solvable algebras are nilpotent?

Published on 19 Mar 2026 - 11:15

54

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Proving an algebra is nilpotent

Published on 09 May 2023 - 12:14

53

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Representations of (opposite) non-associative algebras on dual spaces

Published on 15 Aug 2023 - 16:23

380

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A problem about a group-like structure

Published on 04 Oct 2023 - 12:23

55

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Jordan algebras over $\mathbb{F}_2$ are power-associative?

Published on 25 Mar 2026 - 6:12

59

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Given an alternative algebra A, is the algebra generated by two commutative, associative subalgebras B and C always associative?

Published on 26 Oct 2023 - 17:56

87

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Algebra : Conjecture about basis for algebra.

Published on 05 Dec 2023 - 12:28

16

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Representation of Lie triple systems

Published on 09 Mar 2026 - 12:50

55

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About algebras such that $ j_a j_b \in \{ -1,0, +1,j_c,-j_c \}$ for all $a,b$

Published on 13 Jan 2024 - 12:16

106

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Does $(x^2)(x^3) \neq 0$ imply $(x)(x^3) \neq 0$?

Published on 14 Jan 2024 - 23:54

49

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Do we ever reason about a non-associative algebra without embedding it in an associative algebra?

Published on 03 Mar 2024 - 19:33

65

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$(ab)c + a(bc) = 2 b (ac) \implies^? x(yz) = (xy)z$?

Published on 24 Mar 2024 - 19:31

List Question

Zorn vector-matrix description of octonion multiplication

About 2 operators such that $X(Y+Z) = (XY)+(X*Z)$ , $W+(U+V)\neq (W+U)+V$

What kind of algebra and how can I learn its properties

Is every solvable algebras are nilpotent?

Proving an algebra is nilpotent

Representations of (opposite) non-associative algebras on dual spaces

A problem about a group-like structure

Jordan algebras over $\mathbb{F}_2$ are power-associative?

Given an alternative algebra A, is the algebra generated by two commutative, associative subalgebras B and C always associative?

Algebra : Conjecture about basis for algebra.

Representation of Lie triple systems

About algebras such that $ j_a j_b \in \{ -1,0, +1,j_c,-j_c \}$ for all $a,b$

Does $(x^2)(x^3) \neq 0$ imply $(x)(x^3) \neq 0$?

Do we ever reason about a non-associative algebra without embedding it in an associative algebra?

$(ab)c + a(bc) = 2 b (ac) \implies^? x(yz) = (xy)z$?

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