$n$-derivations of Lie color algebras

Abstract

The aim of this article is to discuss the $n$-derivation algebras of Lie color algebras. It is proved that, if the
base ring contains $\frac{1}{n-1}$, $L$ is a perfect Lie color algebra with zero center, then every triple
derivation of $L$ is a derivation, and every $n$-derivation of the derivation algebra
$nDer(L))$ is an inner derivation.