Minimal prime ideal

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This article defines a property of an ideal in a commutative unital ring |View other properties of ideals in commutative unital rings

Definition

An ideal in a commutative unital ring is termed a minimal prime ideal if it is a prime ideal, and there is no prime ideal strictly contained inside it.

Note that for an integral domain, the zero ideal is the unique minimal prime ideal.

Relation with other properties

Weaker properties

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