4 papers · 1 filter
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…