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arXiv · 2206.07452

Deformations and Extensions of BiHom-alternative algebras

Taoufik Chtioui·Sami Mabrouk·Abdenacer Makhlouf
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Abstract

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.

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Taoufik Chtioui, Sami Mabrouk, Abdenacer Makhlouf. 2022-06-15. Deformations and Extensions of BiHom-alternative algebras. https://arxiv.org/abs/2206.07452

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