Cohen-Macaulay
形容词 adj.
英文释义
形容词 adj.
- Such that its depth is equal to its Krull dimension.
- Cohen-Macaulay as a module over itself.
- Such that all localizations of M at maximal ideals contained in the support of M are either Cohen-Macaulay or trivial.
- Cohen-Macaulay as a module over itself.
词源
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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