Noetherian local ring: Difference between revisions
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* [[Regular local ring]] | * [[Regular local ring]] | ||
* [[Local Cohen-Macaulay ring]] | * [[Local Cohen-Macaulay ring]] | ||
* [[Local Artinian | * [[Local Artinian ring]] | ||
* [[Local Noetherian domain]] | * [[Local Noetherian domain]] | ||
Revision as of 00:25, 17 March 2008
This article defines a property that can be evaluated for a local ring
View other properties of local rings
Definition
A Noetherian local ring (or local Noetherian ring) is a commutative unital ring that is both a Noetherian ring (i.e. every ideal is finitely generated) and a local ring (i.e. there is a unique maximal ideal).