Cohen-macaulay

adj

adj ·Rare ·Advanced level

Definitions

Adjective
  1. 1
    Such that its depth is equal to its Krull dimension. not-comparable
  2. 2
    Cohen-Macaulay as a module over itself. not-comparable
  3. 3
    Such that all localizations of M at maximal ideals contained in the support of M are either Cohen-Macaulay or trivial. not-comparable
  4. 4
    Cohen-Macaulay as a module over itself. not-comparable

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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Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.