Hom-Akivis algebras
Rings and Algebras
2010-06-16 v3
Abstract
Hom-Akivis algebras are introduced. The commutator-Hom-associator algebra of a non-Hom-associative algebra (i.e. a Hom-nonassociative algebra) is a Hom-Akivis algebra. It is shown that non-Hom-associative algebras can be obtained from nonassociative algebras by twisting along algebra automorphisms while Hom-Akivis algebras can be obtained from Akivis algebras by twisting along algebra endomorphisms. It is pointed out that a Hom-Akivis algebra associated to a Hom-alternative algebra is a Hom-Malcev algebra.
Cite
@article{arxiv.1003.4770,
title = {Hom-Akivis algebras},
author = {A. Nourou Issa},
journal= {arXiv preprint arXiv:1003.4770},
year = {2010}
}
Comments
15 pages, 0 figure, a section and references are added