Nilpotent derivation

Definition

A nilpotent derivation of a non-associative ring (i.e., a not necessarily associative ring) $R$is a derivation $d$ of $R$ such that there exists a natural number $n$ for which $d^{n}$ is the zero map on $R$.

We can talk of nilpotent derivations in the context of a Lie ring (in which case it is a nilpotent derivation of a Lie ring), an associative ring, or a Jordan ring.