Hom-prealternative superalgebras

TL;DR

This paper introduces Hom-prealternative superalgebras, explores their structures, bimodules, and connections with Hom-alternative superalgebras, expanding the algebraic framework for superalgebra theory.

Contribution

It defines Hom-prealternative superalgebras, studies their properties, bimodules, and links to Hom-alternative superalgebras, providing new algebraic constructions and insights.

Findings

Construction methods for Hom-prealternative superalgebras

Relations between bimodules of Hom-prealternative and Hom-alternative superalgebras

Bimodule construction via twisting techniques

Abstract

The purpose of this paper is to introduce Hom-prealternative superalgebras and their bimodules. Some constructions of Hom-prealternative superalgebras and Hom-alternative superalgebras are given, and their connection with Hom-alternative superalgebras are studied. Bimodules over Hom-prealternative superalgebras are introduced, relations between bimodules over Hom-prealternative superalgebras and the bimodules of the corresponding Hom-alternative superalgebras are considered, and construction of bimodules over Hom-prealternative superalgebras by twisting is described.