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Morphisms Cohomology and Deformations of Hom-algebras
Authors:Anja Arfa  Nizar Ben Fraj
Affiliation:1. Université de Sfax, Sfax, Tunisia, arfaanja.mail@gmail.com;2. Université de Carthage, Nabeul, Tunisia, benfraj_nizar@yahoo.fr
Abstract:The purpose of this paper is to define cohomology complexes and study deformation theory of Hom-associative algebra morphisms and Hom-Lie algebra morphisms. We discuss infinitesimal deformations, equivalent deformations and obstructions. Moreover, we provide various examples.
Keywords:Hom-associative algebra morphism  Hom-Lie algebra morphism  cohomology  deformation
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