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.