BiHom-Akivis algebras
Rings and Algebras
2020-09-17 v1
Abstract
BiHom-Akivis algebras are introduced. The BiHom-commutator-BiHom-associator algebra of a regular BiHom-algebra is a BiHom-Akivis algebra. It is shown that BiHom-Akivis algebras can be obtained from Akivis algebras by twisting along two algebra endomorphisms. It is pointed out that a BiHom-Akivis algebra associated to a regular BiHom-alternative algebra is a BiHom-Malcev algebra.
Keywords
Cite
@article{arxiv.2009.07821,
title = {BiHom-Akivis algebras},
author = {Sylvain Attan},
journal= {arXiv preprint arXiv:2009.07821},
year = {2020}
}