5 papers · 1 filter
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…
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…
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…
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…
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…