Nilpotent element

Symbol-free definition
An element in a commutative unital ring is termed nilpotent if some positive power of it is $$0$$.

Definition with symbols
An element $$a$$ in a commutative unital ring $$R$$ is termed nilpotent if there exists an integer $$n$$ such that $$a^n = 0$$.

Weaker properties

 * Zero divisor