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

• Regular local ring

Weaker properties

• Equidimensional ring: For full proof, refer: Local Cohen-Macaulay implies equidimensional