English

Representations of weighted Rota-Baxter Jacobi-Jordan algebras

Rings and Algebras 2025-08-14 v1

Abstract

Weighted Rota-Baxter Jacobi-Jordan algebras and their representations are studied. Moreover, we consider weighted Rota-Baxter paired operators that are related to weighted Rota-Baxter Jacobi-Jordan algebras together with their representations. Finally, we define suitable cohomology for weighted Rota-Baxter Jacobi-Jordan algebras in low degrees.

Keywords

Cite

@article{arxiv.2508.09394,
  title  = {Representations of weighted Rota-Baxter Jacobi-Jordan algebras},
  author = {Jules Anitchéou and Sylvain Attan},
  journal= {arXiv preprint arXiv:2508.09394},
  year   = {2025}
}

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18 pages