Morphisms Cohomology and Deformations of Hom-algebras
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DOI: 10.1080/14029251.2018.1503433
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. read more here.
Keywords: cohomology deformations; deformations hom; morphisms cohomology; hom algebras ... See more keywords
Representations and Deformations of Hom-Lie-Yamaguti Superalgebras
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DOI: 10.1155/2020/9876738
Abstract: Let L,α be a Hom-Lie-Yamaguti superalgebra. We first introduce the representation and cohomology theory of Hom-Lie-Yamaguti superalgebras. Also, we introduce the notions of generalized derivations and representations of L,α and present some properties. Finally, we… read more here.
Keywords: lie yamaguti; representations deformations; yamaguti superalgebras; hom lie ... See more keywords