Some characterizations of Hom-Leibniz algebras
Rings and Algebras
2010-11-09 v1
Abstract
Some basic properties of Hom-Leibniz algebras are found. These properties are the Hom-analogue of corresponding well-known properties of Leibniz algebras. Considering the Hom-Akivis algebra associated to a given Hom-Leibniz algebra, it is observed that the Hom-Akivis identity leads to an additional property of Hom-Leibniz algebras, which in turn gives a necessary and sufficient condition for Hom-Lie admissibility of Hom-Leibniz algebras. A necessary and sufficient condition for Hom-power associativity of Hom-Leibniz algebras is also found.
Keywords
Cite
@article{arxiv.1011.1731,
title = {Some characterizations of Hom-Leibniz algebras},
author = {A. Nourou Issa},
journal= {arXiv preprint arXiv:1011.1731},
year = {2010}
}
Comments
LaTeX2e, no figure