Bimodules over Hom-Jordan and Hom-alternative algebras

Abstract

In this paper, bimodules over Hom-Jordan algebras and the ones over Hom-alternative algebras are defined. It is shown that bimodules over Jordan and alternative algebras are twisted into bimodules over Hom-Jordan and Hom-alternative algebras via endomorphisms respectively. Some relations between bimodules over Hom-associative, Hom-Jordan and Hom-alternative algebras, are given.

References in corpus (5)

• Deformations of Lie Algebras using $\sigma$-derivations
• Hom-algebras and homology
• Notes on Formal Deformations of Hom-associative and Hom-Lie Algebras
• Module Hom-algebras
• Hom-alternative modules and Hom-Poisson comodules

Cited by in corpus (2)

• Structures and bimodules of simple Hom-alternative algebras
• Structure of multiplicative simple Hom-Jordan algebras