6 papers
Cohomologies of Reynolds Lie algebras with derivations and its applications
Basdouri Imed, Sadraoui Mohamed Amin
The aim of this paper is to study the cohomology theory of Reynolds Lie algebras equipped with derivations and to explore related applications. We begin by introducing the concept…
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 repre…
Cohomologies and deformations of weighted Rota-Baxter Lie algebras and associative algebras with derivations
Basdouri Imed, Sadraoui Mohamed Amin, Shuangjian Guo
The purpose of the present paper is to investigate cohomologies and deformations of weighted Rota-Baxter Lie algebras as well as weighted Rota-Baxter associative algebras with deri…
Maurer-Cartan characterization and cohomology of compatible LieDer and AssDer pairs
Basdouri Imed, Ghribi Salima, Sadraoui Mohamed Amin
A LieDer pair (respectively, an AssDer pair) is a Lie algebra equipped with a derivation (respectively, an associative algebra equipped with a derivation). A couple of LieDer pair…
On the Hom-Lie CoDer pairs
Asif Sania, Basdouri Imed, Sadraoui Mohamed Amin
The present research paper investigates the intricate fields of Hom-Lie algebra and Hom-Lie coalgebra, providing a complete analysis of their key concepts and important examples. P…
On compatible Lie and pre-Lie Yamaguti algebras
Asif Sania, Basdouri Imed, Sadraoui Mohamed Amin
This study aims to generalize the notion of compatible Lie algebras to the compatible Lie Yamaguti algebras. Along with describing the representation of the compatible Lie Yamaguti…