9 papers · 1 filter
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…
Central derivations of low-dimensional Zinbiel algebras
Basdouri Imed, Jean Lerbet, Bouzid Mosbahi
The study of central derivations in low-dimensional algebraic structures is a crucial area of research in mathematics, with applications in understanding the internal symmetries an…
Quasi-Centroids and Quasi-Derivations of low-dimensional Zinbiel algebras
Basdouri Imed, Jean Lerbet, Bouzid Mosbahi
In this paper, we introduce the concepts of quasi-centroid and quasi-derivation for Zinbiel algebras. Utilizing the classification results of Zinbiel algebras established previousl…
Classification of ()-derivations of two-dimensional left-symmetric dialgebras
Basdouri Imed, Bouzid Mosbahi
We introduce and study a generalized form of derivations for dendriform algebras, specifying all admissible parameter values that define these derivations. Additionally, we present…
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…
Cohomology of compatible BiHom-Lie algebras
Asif Sania, Basdouri Imed, Bouzid Mosbahi +1
This paper defines compatible BiHom-Lie algebras by twisting the compatible Lie algebras by two linear commuting maps. We show the characterization of compatible BiHom-Lie algebra…