9 citations · 12 across the 3 of their papers we have counts for
6 papers · 1 filter
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…
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…