Cohen-Macaulay

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Cohen-Macaulay

Where it comes from

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

adjective

not comparable, of a finite module over a noetherian local ring Such that its depth is equal to its Krull dimension.
not comparable, of a noetherian local ring Cohen-Macaulay as a module over itself.
not comparable, of a module M over a noetherian ring Such that all localizations of M at maximal ideals contained in the support of M are either Cohen-Macaulay or trivial.
not comparable, of a noetherian ring Cohen-Macaulay as a module over itself.

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MLA

"Cohen-Macaulay." Wiktionary, via Micwyn, micwyn.com/word/cohen-macaulay. Accessed 6 Nov. 2026.

APA

Cohen-Macaulay. (n.d.). In Wiktionary, via Micwyn. Retrieved November 6, 2026, from https://micwyn.com/word/cohen-macaulay

Chicago

"Cohen-Macaulay." Wiktionary, via Micwyn. Accessed November 6, 2026. https://micwyn.com/word/cohen-macaulay.

BibTeX

@misc{cohen_macaulay_2026,
  title = {Cohen-Macaulay},
  howpublished = {Wiktionary, via Micwyn},
  year = {2026},
  url = {https://micwyn.com/word/cohen-macaulay},
  urldate = {2026-11-06}
}