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Perfect ideal

From Commalg

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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

Symbol-free definition

An ideal in a commutative unital ring is said to be perfect if the depth of $I$ in $R$ equals the projective dimension of $R/I$ as a $R$ -module.

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Properties of ideals in commutative unital rings