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math.RA2024
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…
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…