Sergei Silvestrov

collaborators

3 papers

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.RA2025

Twisting $O$ -operators by $(2, 3)$ -Cocycle of Hom-Lie-Yamaguti Algebras with Representations

Sami Mabrouk, Sergei Silvestrov, Fatma Zouaidi

In this paper, we first introduce the notion of twisted $O$ -operators on a Hom-Lie-Yamaguti algebra by a given $(2, 3)$ -cocycle with coefficients in a representation. We sh…

math.RA2024

Kupershmidt operators on $3$ -BiHom-Poisson color algebras and $3$ -BiHom-pre-Poisson color algebras structures

Othmen Ncib, Sergei Silvestrov

The purpose of this paper is to introduce the class of noncommutative $3$ -BiHom-Poisson color algebras, which is a combination of $3$ -BiHom-Lie color algebras and BiHom-associative…

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

Twisting O-operators by (2,3)-Cocycle of Hom-Lie-Yamaguti Algebras with Representations

Kupershmidt operators on 3-BiHom-Poisson color algebras and 3-BiHom-pre-Poisson color algebras structures

Twisting $O$ -operators by $(2, 3)$ -Cocycle of Hom-Lie-Yamaguti Algebras with Representations

Kupershmidt operators on $3$ -BiHom-Poisson color algebras and $3$ -BiHom-pre-Poisson color algebras structures