Multiplicative n-Hom-Lie color algebras

TL;DR

This paper extends the theory of $n$-Lie and $n$-Hom-Lie algebras to the more general framework of $n$-Hom-Lie color algebras, providing new constructions and generalizations.

Contribution

It introduces the concept of $n$-Hom-Lie color algebras and offers new methods for constructing these algebraic structures.

Findings

Generalization of $n$-Lie and $n$-Hom-Lie algebra results to color algebras

Introduction of new constructions for $n$-Hom-Lie color algebras

Establishment of foundational properties of these generalized algebras

Abstract

The purpose of this paper is to generalize some results on $n$-Lie algebras and $n$-Hom-Lie algebras to $n$-Hom-Lie color algebras. Then we introduce and give some constructions of $n$-Hom-Lie color algebras.