Zero divisor

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Template:Curing-element property

Definition

Symbol-free definition

An element in a (nonzero) commutative unital ring is termed a zero divisor if there exists a nonzero element with which its product is zero.

Definition with symbols

An element a in a ring R is termed a zero divisor if there exists a b \ne 0 such that ab = 0.

Relation with other properties

Stronger properties

Weaker properties