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math.RA2022
Malcev Yang-Baxter equation, weighted -operators on Malcev algebras and post-Malcev algebras
F. Harrathi, S. Mabrouk, O. Ncib +1
The purpose of this paper is to study the -operators on Malcev algebras and discuss the solutions of Malcev Yang-Baxter equation by -operators. Furthermor…
math.RA2022
Dendrification of Hom-Malcev algebras
F. Harrathi, S. Mabrouk, O. Ncib +1
The main goal of this work is to introduce the notion of Hom-M-dendriform algebras which are the dendriform version of Hom-Malcev algebras. In fact they are the algebraic structure…
math.RA2022★ 6 cited
Kupershmidt operators on Hom-Malcev algebras and their deformation
Fattoum Harrathi, Sami Mabrouk, Othmen Ncib +1
The main feature of Hom-algebras is that the identities defining the structures are twisted by linear maps. The purpose of this paper is to introduce and study a Hom-type generaliz…