Perfect ideal: Difference between revisions

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Latest revision as of 16:28, 12 May 2008

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.