3 citations · 13 across the 16 of their papers we have counts for
17 papers
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…
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…
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…
Deformations of relative Rota-Baxter operators on Hom-Jacobi-Jordan algebras
Jules Anitheou, Sylvain Attan, Kinvi Kangni
Representations of Hom-Jacobi-Jordan algebras are studied. In particular, adjoint representations and trivial representations are studied in detail. Derivations and central extensi…
Representations and O-operators of Hom-(pre)-Jacobi-Jordan algebras
Sylvain Attan
Representations and O-operators of Hom-(pre)-Jacobi-Jordan algebras are introduced and studied. The anticommutator of a Hom-pre-Jacobi-Jordan algebra is a Hom-Jacobi-Jordan algebra…
Representations and relative Rota-Baxter operators of Hom-Leibniz Poisson algebras
Sylvain Attan
Representations and relative Rota-Baxter operators with respect to representations of Hom-Leibniz Poisson algebras are introduced and studied. Some characterizations of these opera…