Structures and bimodules of simple Hom-alternative algebras
Sylvain Attan
TL;DR
This paper investigates the structure of Hom-alternative algebras, providing conditions for properties like solvability, simplicity, and semi-simplicity, and explores bimodule theory within this context.
Contribution
It introduces new structural criteria for Hom-alternative algebras and advances understanding of their bimodule representations.
Findings
Conditions for Hom-alternative algebras being solvable, simple, and semi-simple.
Results on Hom-alternative bimodules.
Structural characterizations of Hom-alternative algebras.
Abstract
This paper is mainly devoted to a structure study of Hom-alternative algebras . Equivalent conditions for Hom-alternative algebras being solvable, simple and semi-simple are displayed. Moreover some results about Hom-alternative bimodule are found.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Rings, Modules, and Algebras