$n$-ary Hom-Nambu algebras

Abstract

In this paper, we define ω-derivations, and study some properties of ω-derivations, with its properties we can structure a new n-ary Hom-Nambu algebra from an n-ary Hom-Nambu algebra. In addition, we also give derivations and representations of n-ary Hom-Nambu algebras.