activity
20122024
most citedQuadratic color Hom-Lie algebras

15 citations · 25 across the 8 of their papers we have counts for

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9 papers · 1 filter

math.RA2025

Extensions of pseudo-euclidean mock-Lie superalgebras

Tahar Benyoussef, Sami Mabrouk

In this article, we introduce mock-Lie superalgebras, we give some definitions, properties, constructions, and we study their representations. Moreover we introduce pseudo-euclidea…

math.RA2025

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…

math.RA2024

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…

math.RA2024

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…

math.RA20231 cited

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…

math.RA20233 cited

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…