Hom-alternative modules and Hom-Poisson comodules

Abstract

In this paper we introduce modules over both left and right Hom-alternative algebras. We give some constructions of left and right Hom-alternative modules and give various properties of both, as well as examples. Then, we prove that morphisms of left alternative algebras extend to morphisms of left Hom-alternative algebras. Next, we introduce comodules over Hom-Poisson coalgebras and show that we may obtain a structure map of a comodule over a Hom-Poisson coalgebra from a given one.

14 pages, major updates

References in corpus (3)

• Deformations of Lie Algebras using $\sigma$-derivations
• Notes on Formal Deformations of Hom-associative and Hom-Lie Algebras
• Non-commutative Hom-Poisson algebras

Cited by in corpus (1)

• Bimodules over Hom-Jordan and Hom-alternative algebras