Cohomologies and linear deformations of relative Rota–Baxter operators on pre-Jacobi–Jordan algebras

Authors

DOI:

https://doi.org/10.12697/ACUTM.2026.30.06

Keywords:

Cohomology, linear deformation, pre-Jacobi–Jordan algebra, relative Rota–Baxter operator

Abstract

The cohomology theory of relative Rota–Baxter operators on pre-Jacobi–Jordan algebras is introduced. The cohomological approach is used to study linear deformations of relative Rota–Baxter operators. In particular, the notion of Nijenhuis elements is introduced to characterize trivial linear deformations 

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Author Biographies

Sylvain Attan, Université d’Abomey-Calavi

Département de Mathématiques, Bénin

Nabil Oro Djibril, Université d’Abomey-Calavi

Institut de Mathématiques et de Sciences Physiques, Bénin

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Published

2026-05-30

Issue

Vol. 30 No. 1 (2026)

Section

Articles