- International Electronic Journal of Algebra
- Volume:34 Issue:34
- Deformations and Extensions of BiHom-alternative algebras
Deformations and Extensions of BiHom-alternative algebras
Authors : Taoufik CHTIOUI, Sami MABROUK, Abdenacer MAKHLOUF
Pages : 159-181
Doi:10.24330/ieja.1260492
View : 29 | Download : 55
Publication Date : 2023-07-10
Article Type : Research Paper
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.Keywords : BiHom alternative algebra, representation, cohomology, formal deformation, extension