3 citations · 9 across the 14 of their papers we have counts for
17 papers · 1 filter
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…
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…
(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…