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arXiv · 2508.09394

Representations of weighted Rota-Baxter Jacobi-Jordan algebras

Jules Anitchéou·Sylvain Attan
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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.

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Jules Anitchéou, Sylvain Attan. 2025-08-12. Representations of weighted Rota-Baxter Jacobi-Jordan algebras. https://arxiv.org/abs/2508.09394

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