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On Cohen-Macaulay rings. (English) Zbl 0816.13008

A characterization of modules whose flat and projective dimensions are equal is given. This is then used to characterize Cohen-Macaulay rings in terms of various dimensions.

MSC:

13D05 Homological dimension and commutative rings
13C14 Cohen-Macaulay modules
13D45 Local cohomology and commutative rings
13H10 Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.)
18G20 Homological dimension (category-theoretic aspects)
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