DEFORMATIONS AND EXTENSIONS OF BIHOM-ALTERNATIVE ALGEBRAS

被引：1

作者：

Chtioui, Taoufik ^{[1
]}

Mabrouk, Sami ^{[2
]}

Makhlouf, Abdenacer ^{[3
]}

机构：

[1] Univ Sfax, Fac Sci Sfax, BP 1171, Sfax 3038, Tunisia

[2] Univ Gafsa, Fac Sci Gafsa, Gafsa 2112, Tunisia

[3] Univ Haute Alsace, IRIMAS, Dept Math, 18 Rue Freres Lumiere, F-68093 Mulhouse, France

来源：

INTERNATIONAL ELECTRONIC JOURNAL OF ALGEBRA | 2023年 / 34卷

关键词：

BiHom-alternative algebra; representation; cohomology; formal deformation; extension; LIE-ALGEBRAS; RINGS;

D O I：

10.24330/ieja.1260492

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

. 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.

引用

页码：159 / 181

页数：23

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