On three-dimensional anti-commutative algebras

Fuente: arXiv
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Main Author: Bekbaev, U.
Format: Preprint
Published: 2025
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author Bekbaev, U.
author_facet Bekbaev, U.
contents This paper is devoted to the classification problem of tree-dimensional anti-commutative(zero-potent) algebras over any base field $\mathbb{F}$ such that $Char(\mathbb{F})\neq 2$ and every element admits a square root.
format Preprint
id arxiv_https___arxiv_org_abs_2512_15161
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On three-dimensional anti-commutative algebras
Bekbaev, U.
Rings and Algebras
17A30, 17A60
This paper is devoted to the classification problem of tree-dimensional anti-commutative(zero-potent) algebras over any base field $\mathbb{F}$ such that $Char(\mathbb{F})\neq 2$ and every element admits a square root.
title On three-dimensional anti-commutative algebras
topic Rings and Algebras
17A30, 17A60
url https://arxiv.org/abs/2512.15161