101 citations · 128 across the 16 of their papers we have counts for
20 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…
Cohomology and formal deformations of n-Hom-Lie color algebras
K. Abdaoui, R. Gharbi, S. Mabrouk +1
The aim of this paper is to provide a cohomology of -Hom-Lie color algebras governing one parameter formal deformations. Then, we study formal deformations of a -Hom-Lie colo…
Poisson superbialgebras
Imed Basdouri, Mohamed Fadous, Sami Mabrouk +1
We introduce the notion of Poisson superbialgebra as an analogue of Drinfeld's Lie superbialgebras. We extend various known constructions dealing with representations on Lie superb…
(Co)homology of compatible associative algebras
Taoufik Chtioui, Apurba Das, Sami Mabrouk
In this paper, we define and study (co)homology theories of a compatible associative algebra . At first, we construct a new graded Lie algebra whose Maurer-Cartan elements are g…
Cohomology and deformations of O-operators on Hom-associative algebras
Taoufik Chtioui, Sami Mabrouk, Abdenacer Makhlouf
In this paper, we introduce the cohomology theory of -operators on Hom-associative algebras. This cohomology can also be viewed as the Hochschild cohomology of a certa…
Extensions and crossed modules of -Lie Rinehart algebras
A. Ben Hassine, T. Chtioui, M. Elhamdadi +1
We introduce a notion of -Lie Rinehart algebras as a generalization of Lie Rinehart algebras to -ary case. This notion is also an algebraic analogue of -Lie algebroids. We…