Deformations of Hom-Alternative and Hom-Malcev algebras - Mathematics > Rings and AlgebrasReport as inadecuate




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Abstract: The aim of this paper is to extend Gerstenhaber formal deformations ofalgebras to the case of Hom-Alternative and Hom-Malcev algebras. We constructdeformation cohomology groups in low dimensions.Using a composition construction, we give a procedure to provide deformationsof alternative algebras resp. Malcev algebras into Hom-alternative algebrasresp. Hom-Malcev algebras. Then it is used to supply examples for which wecompute some cohomology invariants.



Author: Mohamed Elhamdadi, Abdenacer Makhlouf

Source: https://arxiv.org/







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