101 citations · 138 across the 32 of their papers we have counts for
5 papers · 2 filters
On -pre-Lie algebras and dendrification of -Lie algebras
Taoufik Chtioui, Atef Hajjaji, Sami Mabrouk +1
The main purpose of this paper is to introduce the notion of -L-dendriform algebra which can be seen as a dendrification of -pre-Lie algebras by means of -operat…
(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…
On Hom--manifold algebras and quantization
Abdelkader Ben Hassin, Taoufik Chtioui, Mohamed Ali Maalaoui +1
The notion of a -manifold algebras is an algebraic description of a -manifold. In this paper, we introduce the notion of Hom--manifold algebras which is generalisation of…