English

The classification of $n$-dimensional anticommutative algebras with $(n-3)$-dimensional annihilator

Rings and Algebras 2020-04-03 v1

Abstract

We give the classification of all nn-dimensional anticommutative complex algebras with (n3)(n-3)-dimensional annihilator. Namely, we describe all central extensions of all 33-dimensional anticommutative complex algebras.

Keywords

Cite

@article{arxiv.1803.07698,
  title  = {The classification of $n$-dimensional anticommutative algebras with $(n-3)$-dimensional annihilator},
  author = {Antonio Jesús Calderón and Amir Fernández Ouaridi and Ivan Kaygorodov},
  journal= {arXiv preprint arXiv:1803.07698},
  year   = {2020}
}