English Explanatory Dictionary

Cohen-Macaulay

English dictionary entry

Meanings

adj
  1. Such that its depth is equal to its Krull dimension.
  2. Cohen-Macaulay as a module over itself.
  3. Such that all localizations of M at maximal ideals contained in the support of M are either Cohen-Macaulay or trivial.

Word forms

Cohen-Macaulay

Etymology

Named for Irvin Cohen and Francis Sowerby Macaulay, who proved unmixedness results for specific classes of rings, which Cohen-Macaulay rings generalize.

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