Nilpotent element

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Template:Curing-element property

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