Volume no :74, Issue no: 1, December (2023)

Journal of Mathematical Sciences: Advances and Applications

SOME CHARACTERIZATIONS OF LEFT(RIGHT) HOM-ALTERNATIVE ALGEBRAS

Author's: Sylvain Attan
Pages: [23] - [35]
Received Date: September 2, 2023, Revised December 20, 2023
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100122295

Abstract

Some characterizations of left(or right) Hom-alternative algebras are given. Using a Hom-Bol algebra structure on a left(or right) Hom-alternative algebra, a necessary and sufficient condition for Hom-Malcev admissibility of a left(or right) Homalternative algebra is obtained.

Keywords

Hom-alternative algebras, Hom-Malcev algebras, Hom-Bol algebras.