Definition:Nilpotent Ring Element

Definition
Let $R$ be a ring with zero $0_R$.

An element $x \in R$ is nilpotent :
 * $\exists n \in \Z_{>0}: x^n = 0_R$

Also see

 * Definition:Nilradical of Ring
 * Definition:Topologically Nilpotent Ring Element

Special cases

 * Definition:Nilpotent Matrix