3 papers
math.RA2025
Representations of weighted Rota-Baxter Jacobi-Jordan algebras
Jules Anitchéou, Sylvain Attan
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-Bax…
math.RA2025
Cohomologies and linear deformations of relative Rota-Baxter operators on (pre-)Jacobi-Jordan algebras
Nabil Oro Djibril, Sylvain Attan
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 in…
math.RA2025
Cohomologies and linear deformations of pre-Jacobi-Jordan algebras
Sylvain Attan, Nabil Oro Djibril
The purpose of this paper is to introduce an algebraic cohomology theory of left pre-Jacobi-Jordan algebras. We use the cohomological approach to study linear deformations of these…