Local Cohen-Macaulay ring
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