activity
20182022
most citedTwisted O-operators on 3-Lie algebras and 3-NS-Lie algebras

3 citations · 8 across the 11 of their papers we have counts for

collaborators

16 papers

math.RA2022

On deformation cohomology of compatible Hom-associative algebras

Taoufik Chtioui, Ripan Saha

In this paper, we consider compatible Hom-associative algebras as a twisted version of compatible associative algebras. Compatible Hom-associative algebras are characterized as Mau…

math.RT2022

O-operators on Lie triple systems

T. Chtioui, A. Hajjaji, S. Mabrouk +1

The purpose of this paper is to study cohomology and deformations of -operators on Lie triple systems. We define a cohomology of an -operator as the L…

math.RT20213 cited

Twisted O-operators on 3-Lie algebras and 3-NS-Lie algebras

Taoufik Chtioui, Atef Hajjaji, Sami Mabrouk +1

The purpose of this paper is to introduce twisted -operators on -Lie algebras. We define a cohomology of a twisted -operator as the Chevalley-Eilen…

math.RA2021

(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…

math.RA2021

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…

math.RA20212 cited

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…