3 papers
math.RA2021
Classification, centroids and derivations of two-dimensional Hom-Leibniz algebras
Anja Arfa, Nejib Saadaoui, Sergei Silvestrov
Several recent results concerning Hom-Leibniz algebra are reviewed, the notion of symmetric Hom-Leibniz superalgebra is introduced and some properties are obtained. Classification…
math.RA2018
Cohomology and Deformations of -Lie algebra morphisms
A. Arfa, N. Ben Fraj, A. Makhlouf
The study of -Lie algebras which are natural generalization of Lie algebras is motivated by Nambu Mechanics and recent developments in String Theory and M-branes. The purpose of…
math.RA2017
Morphisms Cohomology and Deformations of Hom-algebras
Anja Arfa, Nizar Ben Fraj, Abdenacer Makhlouf
The purpose of this paper is to study deformation theory of Hom-associative algebra morphisms and Hom-Lie algebra morphisms. We introduce a suitable cohomology and discuss Infinite…