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arxiv: 1710.07599 · v1 · pith:F2QXGYSEnew · submitted 2017-10-20 · 🧮 math.RA · math.QA

Morphisms Cohomology and Deformations of Hom-algebras

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keywords deformationsmorphismsalgebracohomologydeformationdiscussequivalentexamples
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The purpose of this paper is to study deformation theory of Hom-associative algebra morphisms and Hom-Lie algebra morphisms. We introduce a suitable cohomology and discuss Infinitesimal deformations, equivalent deformations and obstructions. Moreover, we provide some examples.

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