4 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…