29 citations
- University of SfaxTN7 papers
- Centre National de la Recherche ScientifiqueFR5 papers
- Faculty of Sciences of SfaxTN5 papers
- University of BishaSA3 papers
- University of GabèsTN3 papers
- Laboratoire Interdisciplinaire Carnot de BourgogneFR2 papers
- Tunis El Manar UniversityTN2 papers
- Tunis UniversityTN2 papers
- University of SousseTN2 papers
- École Nationale Supérieure de Mécanique et d'AérotechniqueFR1 paper
- École Supérieure des Sciences de l'Ingénierie CommercialeMA1 paper
- Institut de Mathématiques de BordeauxFR1 paper
6 papers · 1 filter
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…
Symmetric Zinbiel superalgebras
Saïd Benayadi, Ivan Kaygorodov, Fahmi Mhamdi
The notion of symmetric Zinbiel superalgebras is introduced. We prove that the nilpotency index of a symmetric Zinbiel superalgebra is not greater than 4 and describe two-generated…
Cohomology and Deformations of left-symmetric Rinehart Algebras
A. Ben Hassine, T. Chtioui, M. Elhamdadi +1
We introduce a notion of left-symmetric Rinehart algebras, which is a generalization of a left-symmetric algebras. The left multiplication gives rise to a representation of the cor…
-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…
Quadratic color Hom-Lie algebras
F. Ammar, I. Ayadi, S. Mabrouk +1
The purpose of this paper is to study quadratic color Hom-Lie algebras. We present some constructions of quadratic color Hom-Lie algebras which we use to provide several examples.…