Regular local ring: Difference between revisions
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* [[Local Cohen-Macaulay ring]] | * [[Local Cohen-Macaulay ring]] | ||
* [[Local domain]] | * [[Local domain]] | ||
* [[Unique factorization domain]] | |||
* [[Integral domain]]: {{proofat|[[Regular local ring implies integral domain]]}} | * [[Integral domain]]: {{proofat|[[Regular local ring implies integral domain]]}} | ||
Revision as of 12:48, 17 March 2008
This article defines a property that can be evaluated for a local ring
View other properties of local rings
Definition
Symbol-free definition
A local commutative unital ring is said to be regular if its unique maximal ideal is generated (as a module over the ring) by as many elements as the Krull dimension of the ring.