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Article

Enochs, Edgar E. ; Overtoun, Jenda M. G.
On Cohen-Macaulay rings. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 35 (1994), issue 2, pp. 223-230
MSC: 13C14, 13D02, 13D05, 13D45, 13H10, 18G10, 18G20 | MR 1286568 | Zbl 0816.13008
Keywords:
injective; precovers; preenvelopes; canonical module; Cohen-Macaulay; \newline $n$-Gorenstein; resolvent; resolutions
Summary:
In this paper, we use a characterization of $R$-modules $N$ such that $fd_RN = pd_RN$ to characterize Cohen-Macaulay rings in terms of various dimensions. This is done by setting $N$ to be the $dth$ local cohomology functor of $R$ with respect to the maximal ideal where $d$ is the Krull dimension of $R$.
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