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CHTIOUI, Taoufik; MABROUK, Sami; MAKHLOUF, Abdenacer
International Electronic Journal of Algebra, 07/2023, Volume: 34, Issue: 34Journal Article
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.
