5 papers
Derivations, Centroids and Iner-Derivations of -Dimensional Nilpotent Complex Associative Algebras
Ahmed Zahari Abdou
This study focuses on the analysis of derivations, centroids, and inner derivations of 5-dimensional complex nilpotent associative algebras. It presents the classification of these…
Computational Methods for Rota-type operators on 4-dimensionnal nilpotent Leibniz Algebras
Ahmed Zahari Abdou, Kol Béatrice Gamou, Ibrahima Bakayoko
A compatible nilpotent Leibniz algebra is a vector space equipped with two multiplication structures that interact in a certain natural way. This article presents the classificatio…
Classification of some operators on compatible ternary Leibniz algebras
Kol Béatrice Gamou, Ahmed Zahari Abdou, Ibrahima Bakayoko
In this paper, we establish some basic properties of certain operators (element of centroids, averaging operators, derivations, Nijenhuis operators, Rota-Baxter operators) on (comp…
Computational Methods for Biderivations of 4-dimensional nilpotent complex leibniz algebras
Ahmed Zahari Abdou, Bouzid Mosbahi
This paper focuses on the biderivations of 4-dimensional nilpotent complex Leibniz algebras. Using the existing classification of these algebras, we develop algorithms to compute d…
Computational Approaches to Derivations and Automorphism Groups of Associative Algebras
Ahmed Zahari Abdou, Bouzid Mosbahi
This paper focuses on the derivations and automorphism groups of certain finite-dimensional associative algebras over the field of complex numbers. Using classification results for…