Module Hom-algebras

2008/12/26 by Donald Yau, Yau, Donald · 3 citations
Mathematics · #16S80 #16W30 #17B35 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.0812.4695

openalex publication_date 2008/12/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study a twisted version of module algebras called module Hom-algebras. It is shown that module algebras deform into module Hom-algebras via endomorphisms. As an example, we construct certain q-deformations of the usual sl(2)-action on the affine plane.

Cited by

• Structures and bimodules of simple Hom-alternative algebras
• The classical Hom-Yang-Baxter equation and Hom-Lie bialgebras
• Four-angle Hopf modules for Hom-Hopf algebras

Related

• Hom-post-Lie modules, O-operators and some functors on Hom-algebras
• Morphisms Cohomology and Deformations of Hom-algebras
• On Hom-algebra structures
• Notes on Formal Deformations of Hom-associative and Hom-Lie Algebras
• Hom-Algebras and Hom-Coalgebras