Some structures of Hom-Poisson color algebras

TL;DR

This paper introduces new methods for constructing Hom-Poisson color algebras using various algebraic operators and maps, expanding the framework of Hom-algebraic structures in algebraic research.

Contribution

The paper presents novel techniques for generating Hom-Poisson color algebras through the use of bijective maps, centroid elements, averaging, Nijenhuis operators, and multipliers.

Findings

New construction methods for Hom-Poisson color algebras

Extension of Hom-algebraic structures using various operators

Framework for further algebraic exploration and applications

Abstract

In many previous papers, the authors used an endomorphism of algebra to twist the original algebraic structures in order to produce the corresponding Hom-algebraic structures. In this works, we use these either a bijective linear map, either an element of centroid either an averaging operator either Nijenhuis operator, either a multiplier to produce Hom-Poisson color algebras from given one.