Work

Cohomology of modified λ-differential Jacobi–Jordan algebras and its applications

Year: 2024

Type: article

Abstract: The purpose of the present paper is to investigate cohomology of modified λ-differential Jacobi–Jordan algebras. First, we introduce the concept and representations of modified λ-differential Jacobi–Jordan algebras. Moreover, we define a lower order cohomology theory for modified λ-differential Jacobi–Jordan algebras. As applications of the proposed cohomology theory, formal deformations of modified λ-differential Jacobi–Jordan algebras are obtained and the rigidity of a modified λ-differential Jacobi–Jordan algebra is characterized by the vanishing of the second cohomology group. Also, abelian extensions of modified λ-differential Jacobi–Jordan algebras are classified by second-order cohomology. Furthermore, we study T*-extensions of modified λ-differential Jacobi–Jordan algebras.

Source: Acta et Commentationes Universitatis Tartuensis de Mathematica

DOI: 10.12697/acutm.2024.28.16

Authors: Imed Basdouri, Sami Benabdelhafidh, Wen Teng

Institutions: University of Gafsa, University of Sfax, Guizhou University of Finance and Economics

Language: English

Topic: Advanced Topics in Algebra

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4404824631

FWCI: 1.153

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Cited by: 1

Related to: 10