On three-dimensional anti-commutative algebras

U. Bekbaev

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arXiv · 2512.15161

On three-dimensional anti-commutative algebras

U. Bekbaev

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Abstract

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.

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U. Bekbaev. 2025-12-17. On three-dimensional anti-commutative algebras. https://arxiv.org/abs/2512.15161

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