$n$-ary Hom-Nambu algebras

TL;DR

This paper introduces $ ext{omega}$-derivations in $n$-ary Hom-Nambu algebras, explores their properties, and constructs new algebraic structures, also providing derivations and representations for these algebras.

Contribution

It defines $ ext{omega}$-derivations and demonstrates how to generate new $n$-ary Hom-Nambu algebras from existing ones, along with derivations and representations.

Findings

$ ext{omega}$-derivations characterized and studied

New $n$-ary Hom-Nambu algebras constructed from existing ones

Derivations and representations of $n$-ary Hom-Nambu algebras provided

Abstract

In this paper, we define $\omega$-derivations, and study some properties of $\omega$-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.