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

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DOI:

https://doi.org/10.12697/ACUTM.2023.27.19

Keywords:

metric-Hom-Jacobi–Jordan algebra, cohomology, quadratic extension, twofold extension

Abstract

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.

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Author Biography

Nejib Saadaoui, University of Gabes

Higher Institute of Computer Science and Multimedia

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Published

2023-12-01

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