Second cohomology group and quadratic extensions of metric Hom-Jacobi-Jordan algebras

被引：0

作者：

Saadaoui, Nejib ^{[1
]}

机构：

[1] Univ Gabes, Higher Inst Comp Sci & Multimedia Gabes, City Elamal 4, Gabes, Tunisia

来源：

ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA | 2023年 / 27卷 / 02期

关键词：

Metric-Hom-Jacobi-Jordan algebra; cohomology; quadratic ex-tension; twofold extension; LIE-ALGEBRAS; DEFORMATIONS;

D O I：

10.12697/ACUTM.2023.27.19

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce and study the low dimensional cohomology of metric Hom-Jacobi-Jordan algebras. We establish one-to-one correspondence between the equivalence classes of abelian quadratic extensions of a Hom-Jacobi-Jordan algebra and its second cohomology group.

引用

页码：269 / 294

页数：26

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