101 citations · 197 across the 39 of their papers we have counts for
45 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…
Rota-Baxter type operators on trusses and derived structures
T. Chtioui, M. Elhamdadi, S. Mabrouk +1
The aim of this paper is to introduce and study the concepts of the Rota-Baxter operator and Reynolds operator within the framework of trusses. Moreover, we introduce and discuss d…
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…
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…
Superalgebras with Homogeneous structures of Lie type
Sami Mabrouk, Othmen Ncib
In this paper, we extend the concept of Lie superalgebras to a more generalized framework called Super-Lie superalgebras. In addition, they seem to be exploring various supergenera…
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…