English

On three-dimensional anti-commutative algebras

Rings and Algebras 2025-12-18 v1

Abstract

This paper is devoted to the classification problem of tree-dimensional anti-commutative(zero-potent) algebras over any base field F\mathbb{F} such that Char(F)2Char(\mathbb{F})\neq 2 and every element admits a square root.

Keywords

Cite

@article{arxiv.2512.15161,
  title  = {On three-dimensional anti-commutative algebras},
  author = {U. Bekbaev},
  journal= {arXiv preprint arXiv:2512.15161},
  year   = {2025}
}
R2 v1 2026-07-01T08:28:41.645Z