5 citations · 14 across the 21 of their papers we have counts for
25 papers
Deformation maps on quasi-twilled Lie conformal algebras
Taoufik Chtioui, Sami Mabrouk, Abdenacer Makhlouf
In this paper, we develop a unified approach for various operators on Lie conformal algebras. Given a quasi-twilled Lie conformal algebra $(\Ep,\Vs,\Ws)$, we introduce two dual fam…
Anti-Leibniz algebras: A non-commutative version of mock-Lie algebra
Safa Braiek, Taoufik Chtioui, Sami Mabrouk
Leibniz algebras are non skew-symmetric generalization of Lie algebras. In this paper we introduce the notion of anti-Leibniz algebras as a "non commutative version" of mock-Lie al…
Jacobi-Jordan conformal algebras: Basics, Constructions and related structures
Taoufik Chtioui, Sami Mabrouk, Abdenacer Makhlouf
The main purpose of this paper is to introduce and investigate the notion of Jacobi-Jordan conformal algebra. They are a generalization of Jacobi-Jordan algebras which correspond t…
Hom-associative algebras, Admissibility and Relative averaging operators
Safa Braiek, Taoufik Chtioui, Sami Mabrouk +1
We introduce the notion of relative averaging operators on Hom-associative algebras with a representation. Relative averaging operators are twisted generalizations of relative aver…
Mock-Lie bialgebras and mock-Lie analogue of the classical Yang-Baxter equation
K. Benali, T. Chtioui, A. Hajjaji +1
The aim of this paper is to introduce the notion of a mock-Lie bialgebra which is equivalent to a Manin triple of mock-Lie algebras. The study of a special case called coboundary m…
On Ternary -manifold Algebras and their Representations
A. Ben Hassine, T. Chtioui, M. Elhamdadi +1
We introduce a notion of ternary -manifold algebras which is a generalization of -manifold algebras. We study representation theory of ternary -manifold algebras. In parti…
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…
Deformations and Extensions of BiHom-alternative algebras
Taoufik Chtioui, Sami Mabrouk, Abdenacer Makhlouf
The aim of this paper is to deal with BiHom-alternative algebras which are a generalization of alternative and Hom-alternative algebras, their structure is defined with two commuti…
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…
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…
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…
(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…
Hom-Jordan-Malcev-Poisson algebras
Taoufik Chtioui, Sami Mabrouk, Abdenacer Makhlouf
The purpose of this paper is to provide and study a Hom-type generalization of Jordan-Malcev-Poisson algebras, called Hom-Jordan-Malcev-Poisson algebras. We show that they are clos…
Structure and cohomology of 3-Lie-Rinehart superalgebras
Abdelkader Ben Hassine, Taoufik Chtioui, Sami Mabrouk +1
We introduce the concept of 3-Lie-Rinehart superalgebra and systematically describe a cohomology complex by considering coefficient modules. Furthermore, we study the relationships…
Cohomology and Deformations of left-symmetric Rinehart Algebras
A. Ben Hassine, T. Chtioui, M. Elhamdadi +1
We introduce a notion of left-symmetric Rinehart algebras, which is a generalization of a left-symmetric algebras. The left multiplication gives rise to a representation of the cor…
Cohomology and conformal derivations of BiHom-Lie conformal superalgebras
Taoufik Chtioui
In this paper, we introduce the notion of BiHom-Lie conformal superalgebras. We develop its representation theory and define the cohomology group with coefficients in a module. Fin…
Nijenhuis Operators on 3-Hom-L-dendriform algebras
Abelkader Ben Hassine, Taoufik Chtioui, Sami Mabrouk
The goal of this work is to introduce the notion of -Hom-Lie-dendriform algebras which is the dendriform version of -Hom-Lie-algebras. They can be also regarded as the ternar…
Construction of Hom-Pre-Jordan algebras and Hom-J-dendriform algebras
Taoufik Chtioui, Sami Mabrouk, Abdenacer Makhlouf
The aim of this work is to introduce and study the notions of Hom-pre-Jordan algebra and Hom-J-dendriform algebra which generalize Hom-Jordan algebras. Hom-Pre-Jordan algebras are…
-L-dendriform algebras and generalized derivations
Taoufik Chtioui, Sami Mabrouk
The main goal of this paper is to introduce the notion of -L-dendriform algebras which are the dendriform version of -pre-Lie algebras. In fact they are the algebraic structu…
Constructions and representation theory of BiHom-post-Lie algebras
Hadjer Adimi, Taoufik Chtioui, Sami Mabrouk +1
The main goal of this paper is to give some construction results of BiHom-post-Lie algebras which are a generalization of both post-Lie-algebras and Hom-post-Lie algebras. They are…
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…