101 citations · 171 across the 15 of their papers we have counts for
15 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…
Nijenhuis operators and mock-Lie bialgebras
Tianshui Ma, Sami Mabrouk, Abdenacer Makhlouf +1
A Nijenhuis mock-Lie algebra is a mock-Lie algebra equipped with a Nijenhuis operator. The purpose of this paper is to extend the well-known results about Nijenhuis mock-Lie algebr…
On deformation theory of associative algebras in monoidal categories
Abdenacer Makhlouf, Dragoş Ştefan
We extend the classical concept of deformation of an associative algebra, as introduced by Gerstenhaber, by using monoidal linear categories and cocommutative coalgebras as foundat…
Deformation maps of Quasi-twilled associative algebras
Shanshan Liu, Abdenacer Makhlouf, Lina Song
In this paper, we introduce two types of deformation maps of quasi-twilled associative algebras. Each type of deformation maps unify various operators on associative algebras. Righ…
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…
Maurer-Cartan type cohomology on generalized Reynolds operators and NS-structures on Lie triple systems
Rahma Gharbi, Sami Mabrouk, Abdenacer Makhlouf
The purpose of this paper is to introduce and study the notion of generalized Reynolds operators on Lie triple systems with representations (Abbr. \textsf{L.t.sRep} pairs) as gener…