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math.RA2023
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…
math.RA2023
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…