Affiliation:
1. University of Sfax
2. University of Gafsa
3. University of Haute Alsace
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.
Publisher
The International Electronic Journal of Algebra
Subject
Algebra and Number Theory
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