Deformations and Extensions of BiHom-alternative algebras

The aim of this paper is to deal with BiHom-alternative algebras which are a generalization of alternative and Hom-alternative algebras, their structure is defined with two commuting multiplicative linear maps. We study cohomology and one-parameter formal deformation theory of left BiHom-alternative...

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Bibliographic Details
Published in:arXiv.org 2022-06
Main Authors: Chtioui, Taoufik, Mabrouk, Sami, Makhlouf, Abdenacer
Format: Article
Language:English
Subjects:
Algebra
Deformation
Homology
Online Access:Get full text
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Summary:The aim of this paper is to deal with BiHom-alternative algebras which are a generalization of alternative and Hom-alternative algebras, their structure is defined with two commuting multiplicative linear maps. We study cohomology and one-parameter formal deformation theory of left BiHom-alternative algebras. Moreover, we study central and \(T_\theta\)-extensions of BiHom-alternative algebras and their relationship with cohomology. Finally, we investigate generalized derivations and give some relevant results.
ISSN:2331-8422