BiHom替换代数的变形与扩张

IF 0.5 Q3 MATHEMATICS

International Electronic Journal of Algebra Pub Date : 2022-06-15 DOI:10.24330/ieja.1260492

T. Chtioui, S. Mabrouk, A. Makhlouf

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引用次数: 0

摘要

本文的目的是处理BiHom替换代数，它是替换代数和Hom替换代的推广，它们的结构由两个可交换的乘性线性映射定义。我们研究了左BiHom替换代数的上同调和单参数形式变形理论。此外，我们还研究了BiHom替换代数的中心扩张和$T_theta$-扩张及其与上同调的关系。最后，我们研究了广义导数，并给出了一些相关的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Deformations and Extensions of BiHom-alternative algebras

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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来源期刊

International Electronic Journal of Algebra MATHEMATICS-

CiteScore

0.90

自引率

16.70%

发文量

审稿时长

36 weeks

期刊介绍： The International Electronic Journal of Algebra is published twice a year. IEJA is reviewed by Mathematical Reviews, MathSciNet, Zentralblatt MATH, Current Mathematical Publications. IEJA seeks previously unpublished papers that contain: Module theory Ring theory Group theory Algebras Comodules Corings Coalgebras Representation theory Number theory.