14 citations · 42 across the 17 of their papers we have counts for
17 papers · 1 filter
Hom-Poisson superalgebras with nondegenerate bilinear forms and compatible Hom-anti-pre-Poisson superalgebras
W. Ben Abdelhafidh, O. Ncib
In this paper, we first introduce the notions of Hom-anti-Zinbiel superalgebras, extending the corresponding anti-algebraic structures to the Hom-super setting. We develop their fu…
On noncommutative Hom-anti-pre-Poisson superalgebras and related structures
W. Ben Abdelhafidh, O. Ncib
In this paper, we develop the theory of several Hom-type anti-algebraic structures in the -graded setting. We introduce and study Hom-anti-associative superalgebras,…
Kupershmidt operators on -BiHom-Poisson color algebras and -BiHom-pre-Poisson color algebras structures
Othmen Ncib, Sergei Silvestrov
The purpose of this paper is to introduce the class of noncommutative -BiHom-Poisson color algebras, which is a combination of -BiHom-Lie color algebras and BiHom-associative…
Homogeneous O-operators on BiHom-Jordan superalgebras and BiHom-pre-Jordan superalgebras structures
Othmen Ncib
In this paper, we recall the notion of BiHom-generalization of Jordan superalgebras called BiHom-Jordan superalgebras in which, we investigate their representation and associated d…
Superalgebras with Homogeneous structures of Lie type
Sami Mabrouk, Othmen Ncib
In this paper, we extend the concept of Lie superalgebras to a more generalized framework called Super-Lie superalgebras. In addition, they seem to be exploring various supergenera…
Yang-Baxter equations and -operators of a Hom-Jordan superalgebra with representation
Sami Mabrouk, Othmen Ncib, Sihem Sendi
In this paper, first we recall the notion of Hom-Jordan superalgebras and study their representations. We define the Yang-Baxter equation in a Hom-Jordan superalgebra. Additionally…
Pseudo-Euclidean Hom-alternative superalgebras and Hom-post-alternative superalgebras
S. Mabrouk, O. Ncib, S. Sendi +1
The purpose of this paper is to study pseudo-Euclidean and symplectic Hom-alternative superalgebras and discuss some of their proprieties and provide construction procedures. We al…
On n-Hom-pre-Lie superalgebras structures and their representations
Othmen Ncib, Sihem Sendi
In this paper, we introduce the notion of n-Hom-pre-Lie superalgebras. We investigate the representation theory of n-Hom-pre-Lie superalgebras and we give some related results and…
Malcev Yang-Baxter equation, weighted -operators on Malcev algebras and post-Malcev algebras
F. Harrathi, S. Mabrouk, O. Ncib +1
The purpose of this paper is to study the -operators on Malcev algebras and discuss the solutions of Malcev Yang-Baxter equation by -operators. Furthermor…
Dendrification of Hom-Malcev algebras
F. Harrathi, S. Mabrouk, O. Ncib +1
The main goal of this work is to introduce the notion of Hom-M-dendriform algebras which are the dendriform version of Hom-Malcev algebras. In fact they are the algebraic structure…
Kupershmidt operators on Hom-Malcev algebras and their deformation
Fattoum Harrathi, Sami Mabrouk, Othmen Ncib +1
The main feature of Hom-algebras is that the identities defining the structures are twisted by linear maps. The purpose of this paper is to introduce and study a Hom-type generaliz…
On Hom-Nambu-Poisson superalgebras structures and their representations
Othmen Ncib
The purpose of this paper is to study some results of constructions on Hom-Poisson superal-gebras we use the representations and Rota-Baxter operators. We introduce the structures…
Hom-pre-Malcev and Hom-M-Dendriform algebras
Fattoum Harrathi, Sami Mabrouk, Othmen Ncib +1
The main feature of Hom-algebras is that the identities defining the structures are twisted by linear maps. The purpose of this paper is to introduce and study a Hom-type generaliz…
BiHom pre-Lie Superalgebras and Related Structures
Othmen Ncib
Throughout this paper, we will study Rota-Baxter operators and super O-operator of associative BiHom superalgebras, BiHom Lie superalgebras, BiHom pre-Lie superalgebras and BiHom-L…
Cohomology and linear deformation of BiHom-left-symmetric algebras
Abdelkader Ben Hassine, Taoufik Chtioui, Sami Mabrouk +1
The aim of this work is to introduce representations of BiHom-left-symmetric algebras. and develop its cohomology theory. As applications, we study linear deformations of BiHom-lef…
-BiHom-Lie superalgebras induced by BiHom-Lie superalgebras
Abdelkader Ben Hassine, Sami Mabrouk, Othmen Ncib
The purpose of this paper is to study the relationships between a BiHom-Lie superalgebras and its induced 3-BiHom-Lie superalgebras. We introduce the notion of -derivati…
Some constructions of multiplicative -ary Hom-Nambu algebras
Abdelkader Ben Hassine, Sami Mabrouk, Othmen Ncib
We show that given a Hom-Lie algebra one can construct the n-ary Hom-Lie bracket by means of an (n-2)-cochain of given Hom-Lie algebra and find the conditions under which this n-ar…