4 citations · 9 across the 18 of their papers we have counts for
19 papers
Killing Vectors and Bochner-Type Theorems in Pseudo-Riemannian Hom-Lie Algebras
Raymond Hounnonkpe, Ibrahima Bakayoko, Emmanuel Gnandi +1
In this paper, we study pseudo-Riemannian Hom-Lie algebras. We establish Hom-versions of the classical Bochner theorem in both the Riemannian and Lorentzian settings. Finally, we p…
Structures and comodules of Hom-post Lie coalgebras
Damien Houndedji, Ibrahima Bakayoko
In this paper, we introduce the notions of Hom-tridendriform coalgebras and Hom-post-Lie coalgebras as the dual notions of Hom-tridendriform algebras and Hom-post-LIe algebras resp…
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…
Ternary Leibniz color algebras and beyond
Ibrahima Bakayoko
The purpose of this paper is to study some Ternary color algebras. We generalize some results on ternary Leibniz algebras to the case of ternary Leibniz color algebras. In order to…
On BiHom-associative dialgebras
Ahmed Zahary, Ibrahima Bakayoko
The aim of this paper is to introduce and study BiHom-associative dialgebras. We give various constructions and study its connections with BiHom-Poisson dialgebras and BiHom-Leibni…
BiHom-Poisson color algebras
Ibrahima Bakayoko
The goal of this paper is to introduce BiHom-Poisson color algebras and give various constructions by using some specific maps such as morphisms. We introduce averaging operator an…
Constructions and generalised derivations of multiplicative n-BiHom-Lie color algebras
Ibrahima Bakayoko, Ismail Laraiedh
The aim of this paper is introduce and give some constructions results and examples of n-BiHom-Lie color algebras. Next, we introduce the definition of BiHom-modules over n- BiHom-…
Some structures of Hom-Poisson color algebras
Ibrahima Bakayoko, Silvain Attan
In many previous papers, the authors used an endomorphism of algebra to twist the original algebraic structures in order to produce the corresponding Hom-algebraic structures. In t…
Multiplicative n-Hom-Lie color algebras
Ibrahima Bakayoko, Sergei Silvestrov
The purpose of this paper is to generalize some results on -Lie algebras and -Hom-Lie algebras to -Hom-Lie color algebras. Then we introduce and give some constructions of…
Hom-left-symmetric color dialgebras, Hom-tridendriform color algebras and Yau's twisting generalizations
Ibrahima Bakayoko, Sergei Silvestrov
The goal of this paper is to introduce and give some constructions and study properties of Hom-left-symmetric color dialgebras and Hom-tridendriform color algebras. Next, we study…
Hom-prealternative superalgebras
Ibrahima Bakayoko, Sergei Silvestrov
The purpose of this paper is to introduce Hom-prealternative superalgebras and their bimodules. Some constructions of Hom-prealternative superalgebras and Hom-alternative superalge…
Hom-post-Lie modules, O-operators and some functors on Hom-algebras
Ibrahima Bakayoko
The aim of this paper is to study modules over Hom-post-Lie algebras and give some contructions and various twisting i.e. we show that modules over post-Hom-Lie algebras are close…
Hom-Novikov color algebras
Ibrahima Bakayoko
The aim of this paper is to introduce Hom-Novikov color algebras and give some constructions of Hom-Novikov color algebras from a given one and a (weak) morphism. Other interesting…
Ternary Leibniz color algebras and beyond
Ibrahima Bakayoko
The purpose of this paper is to generalize some results on ternary Leibniz algebras to the case of ternary Leibniz color algebras. In particular, we study color Lie triple systems.…
Color Hom-Akivis algebras, Color Hom-Leibniz algebras and Modules over Color Hom-Leibniz algebras
Ibrahima Bakayoko, Momo Bangoura, Bakary Manga
In this paper we introduce color Hom-Akivis algebras and prove that the commutator of any color non-associative Hom-algebra structure map leads to a color Hom-akivis algebra. We gi…
Hom-alternative modules and Hom-Poisson comodules
Ibrahima Bakayoko, Bakary Manga
In this paper we introduce modules over both left and right Hom-alternative algebras. We give some constructions of left and right Hom-alternative modules and give various properti…