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20212025
most citedKupershmidt operators on Hom-Malcev algebras and their deformation

6 citations · 6 across the 6 of their papers we have counts for

collaborators

7 papers

math.RA2025

Nijenhuis operators and twisted -operators on Nambu-Poisson algebras

Apurba Das, Fattoum Harrathi, Sami Mabrouk

A ternary Nambu-Poisson algebra (which we call a Nambu-Poisson algebra in the paper) is the underlying algebraic structure of Nambu-Poisson manifolds of order that appeared in…

math.RA2025

Bialgebras, Manin triples of Malcev-Poisson algebras and post-Malcev-Poisson algebras

Fattoum Harrathi, Sami Mabrouk, Nasser Nawel +1

A Malcev-Poisson algebra is a Malcev algebra together with a commutative associative algebra structure related by a Leibniz rule. In this paper, we introduce the notion of Malcev-P…

math.RA2024

Skew-supersymmetric solution of the super Malcev Yang-Baxter equation and Pre-Malcev superalgebras

Fattoum Harrathi

The purpose of this paper is to introduce the notion of pre-Malcev superalgebras as the algebraic structure behind the super -operators on Malcev superalgebras. Moreov…

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…

math.RA2021

Hom-pre-Malcev and Hom-M-Dendriform algebras

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…