Representations of weighted Rota-Baxter Jacobi-Jordan algebras

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.