101 citations · 197 across the 39 of their papers we have counts for
5 papers · 2 filters
Yang-Baxter equations and -operators of a Hom-Jordan superalgebra with representation
Sami Mabrouk, Othmen Ncib, Sihem Sendi
In this paper, first we recall the notion of Hom-Jordan superalgebras and study their representations. We define the Yang-Baxter equation in a Hom-Jordan superalgebra. Additionally…
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…
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…
Pseudo-Euclidean Hom-alternative superalgebras and Hom-post-alternative superalgebras
S. Mabrouk, O. Ncib, S. Sendi +1
The purpose of this paper is to study pseudo-Euclidean and symplectic Hom-alternative superalgebras and discuss some of their proprieties and provide construction procedures. We al…
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…