Showing math.RAShow all
3 papers · 1 filter
math.RA2026
Hom-Poisson superalgebras with nondegenerate bilinear forms and compatible Hom-anti-pre-Poisson superalgebras
W. Ben Abdelhafidh, O. Ncib
In this paper, we first introduce the notions of Hom-anti-Zinbiel superalgebras, extending the corresponding anti-algebraic structures to the Hom-super setting. We develop their fu…
math.RA2026
On noncommutative Hom-anti-pre-Poisson superalgebras and related structures
W. Ben Abdelhafidh, O. Ncib
In this paper, we develop the theory of several Hom-type anti-algebraic structures in the -graded setting. We introduce and study Hom-anti-associative superalgebras,…
math.RA2024
Kupershmidt operators on -BiHom-Poisson color algebras and -BiHom-pre-Poisson color algebras structures
Othmen Ncib, Sergei Silvestrov
The purpose of this paper is to introduce the class of noncommutative -BiHom-Poisson color algebras, which is a combination of -BiHom-Lie color algebras and BiHom-associative…