Deformations of relative Rota-Baxter operators on Hom-Jacobi-Jordan algebras
Rings and Algebras
2023-08-09 v1
Abstract
Representations of Hom-Jacobi-Jordan algebras are studied. In particular, adjoint representations and trivial representations are studied in detail. Derivations and central extensions of Hom-Jacobi-Jordan algebras are also discussed as an application. Morover, we introduce the cohomology theory on Hom-Jacobi-Jordan algebras as well as the one of relative Rota-Baxter operators on Hom-Jacobi-Jordan algebras. Finally, we use the cohomological approach to study deformations of Hom-Jacobi-Jordan algebras and those of relative Rota-Baxter operators.
Keywords
Cite
@article{arxiv.2308.04203,
title = {Deformations of relative Rota-Baxter operators on Hom-Jacobi-Jordan algebras},
author = {Jules Anitheou and Sylvain Attan and Kinvi Kangni},
journal= {arXiv preprint arXiv:2308.04203},
year = {2023}
}