Word Pronunciation & Dictionary

cohen-macaulay

Word Rarity Rare

Frequency: Zipf frequency 2.89 in modern English

Syllables
co-hen--macaulay
IPA
25
Scrabble Score
13
Letters
4
Syllables
10
Unique Chars

Meaning

adj

Such that its depth is equal to its Krull dimension.

adj

Cohen-Macaulay as a module over itself.

adj

Such that all localizations of M at maximal ideals contained in the support of M are either Cohen-Macaulay or trivial.

adj

Cohen-Macaulay as a module over itself.

Etymology

Questions

What does cohen-macaulay mean?
Such that its depth is equal to its Krull dimension.
Where does cohen-macaulay come from?
Named for Irvin Cohen and Francis Sowerby Macaulay, who proved unmixedness results for specific classes of rings, which Cohen-Macaulay rings generalize.

How to pronounce cohen-macaulay

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