List questions from nonassociative-algebras

Published on 25 Mar 2026 - 10:55

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

Published on 25 Mar 2026 - 9:29

58

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What kind of algebra and how can I learn its properties

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64

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Is every solvable algebras are nilpotent?

Published on 26 Apr 2026 - 22:09

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Proving an algebra is nilpotent

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

Published on 25 Mar 2026 - 11:06

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A problem about a group-like structure

Published on 25 Mar 2026 - 9:33

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

Published on 30 Apr 2026 - 22:34

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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 25 Mar 2026 - 11:03

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Algebra : Conjecture about basis for algebra.

Published on 25 Mar 2026 - 9:31

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Representation of Lie triple systems

Published on 06 Apr 2026 - 4:28

56

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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 25 Mar 2026 - 9:28

107

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

Published on 25 Mar 2026 - 9:32

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

Published on 25 Mar 2026 - 11:01

66

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

Published on 25 Mar 2026 - 11:06

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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