The Mikheev identity in right Hom-alternative algebras

Abstract

It is shown that in every multiplicative right Hom-alternative algebra, a Hom-type generalization of the Mikheev identity holds. It is then inferred that a multiplicative right Hom-alternative algebra with an injective twisting map and without Hom-nilpotent elements or left zero-divisors must be a Hom-alternative algebra.

15 pages

References in corpus (3)

• Deformations of Lie Algebras using $\sigma$-derivations
• Hom-power associative algebras
• Right Hom-alternative algebras

Cited by in corpus (1)

• Ado theorem for nilpotent Hom-Lie algebras