3 papers
math.RA2025
Isoclinism in regular Hom-Lie Yamaguti algebras
Sania Asif, Mohamed Amin Sadraoui
In this paper, we develop the theory of \emph{isoclinism} for regular Hom-Lie Yamaguti algebras, a class that unifies several generalizations of Lie algebras. Although isomorphism…
math.RA2024
A cohomological study of modified Rota-Baxter associative algebras with derivations
Imed Basdouri, Sami Benabdelhafidh, Mohamed Amin Sadraoui +1
This paper presents a cohomological study of modified Rota-Baxter associative algebras in the presence of derivations. The Modified Rota-Baxter operator, which is a modified versio…
math.RA2024
Cohomologies of modified Rota-Baxter Lie algebras with derivations and applications
Imed Basdouri, Sami Benabdelhafidh, Mohamed Amin Sadraoui
In this paper, first, we introduce a notion of modified Rota-Baxter Lie algebras of weight with derivations (or simply modified Rota-Baxter LieDer pairs) and their repr…