Central extensions of filiform Zinbiel algebras
Rings and Algebras
2020-09-03 v1
Abstract
In this paper we describe central extensions (up to isomorphism) of all complex null-filiform and filiform Zinbiel algebras. It is proven that every non-split central extension of an -dimensional null-filiform Zinbiel algebra is isomorphic to an -dimensional null-filiform Zinbiel algebra. Moreover, we obtain all pairwise non isomorphic quasi-filiform Zinbiel algebras.
Keywords
Cite
@article{arxiv.2009.00988,
title = {Central extensions of filiform Zinbiel algebras},
author = {Luisa M. Camacho and Iqboljon Karimjanov and Ivan Kaygorodov and Abror Khudoyberdiyev},
journal= {arXiv preprint arXiv:2009.00988},
year = {2020}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1809.00183, arXiv:1904.00845, arXiv:1812.01442, arXiv:1803.07698