4 papers
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…
Crossed modules of ternary Leibniz algebras
Kol Béatrice Gamou, Ibrahima Bakayoko
The aim of this paper is to construct triassociative algebras (from operators), new actions and crossed modules from a given one, and to make the connexion between these notions on…
Some results on compatible ternary Leibniz algebras
Kol Béatrice Gamou, Ibrahima Bakayoko
In this paper, we introduce compatible ternary Leibniz algebras, (dual)Nijenhuis pairs from the second-order deformation of ternary Leibniz algebras with a representarion and study…