Cohomologies and linear deformations of relative Rota-Baxter operators on (pre-)Jacobi-Jordan algebras
Rings and Algebras
2025-08-06 v1
Abstract
Some results on (pre-)Jacobi-Jordan algebras and their representations are proved. Moreover, the notion of matched pairs and relative Rota-Baxter operators on these algebras are introduced and studied. The cohomology theory of relative Rota-Baxter operators on (pre)-Jacobi-Jordan algebras is introduced. We use the cohomological approach to study linear deformations of relative Rota-Baxter operators. In particular, the notion of Nijenhuis elements is introduced to characterize trivial linear deformations.
Keywords
Cite
@article{arxiv.2508.03096,
title = {Cohomologies and linear deformations of relative Rota-Baxter operators on (pre-)Jacobi-Jordan algebras},
author = {Nabil Oro Djibril and Sylvain Attan},
journal= {arXiv preprint arXiv:2508.03096},
year = {2025}
}
Comments
arXiv admin note: text overlap with arXiv:2105.14650; text overlap with arXiv:2005.00729 by other authors