Cohen-Macaulay

English

Etymology

Named for Template:W and Template:W, who proved unmixedness results for specific classes of rings, which Cohen-Macaulay rings generalize.

Adjective

1. Template:SenseidTemplate:Lb Such that its depth is equal to its Krull dimension.
2. Template:Lb Template:L as a module over itself.
3. Template:SenseidTemplate:Lb Such that all localizations of $M$ at maximal ideals contained in the support of $M$ are either Template:L or trivial.
4. Template:Lb Template:L as a module over itself.