Nilpotent element

Definition

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 $a^{n}=0$.

Relation with other properties

Weaker properties

• Zero divisor