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Morphisms Cohomology and Deformations of Hom-algebras
Journal article   Peer reviewed

Morphisms Cohomology and Deformations of Hom-algebras

Anja Arfa, Nizar Ben Fraj and Abdenacer Makhlouf
Journal of nonlinear mathematical physics, Vol.25(4), pp.589-603
02/10/2018
DOI: https://doi.org/10.1080/14029251.2018.1503433

Abstract

cohomology deformation Hom-associative algebra morphism Hom-Lie algebra morphism
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.

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