Local Cohen-Macaulay ring: Difference between revisions
(New page: {{local ring property}} ==Definition== A '''local Cohen-Macaulay ring''' is any of the following equivalent things: * A local ring that is also [[Cohen-Macaulay ring|Cohen-Macaulay]...) |
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* [[Equidimensional ring]] | * [[Equidimensional ring]]: {{proofat|[[Local Cohen-Macaulay implies equidimensional]]}} | ||
Revision as of 16:07, 10 March 2008
This article defines a property that can be evaluated for a local ring
View other properties of local rings
Definition
A local Cohen-Macaulay ring is any of the following equivalent things:
- A local ring that is also Cohen-Macaulay
- A ring obtained as a localization of a Cohen-Macaulay ring
Relation with other properties
Stronger properties
Weaker properties
- Equidimensional ring: For full proof, refer: Local Cohen-Macaulay implies equidimensional