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.RA2023
Twisted Lie algebras by invertible derivations
Imed Basdouri, Esmael Peyghan, Mohamed Amin Sadraoui
In this paper, we introduce an algebra structure denoted by InvDer algebra whose which we twist an algebra thanks to an invertible derivation, where its inverse is also a derivatio…