On Cohen-Macaulay rings
Enochs, Edgar E. ; Overtoun, Jenda M. G.
Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994), p. 223-230 / Harvested from Czech Digital Mathematics Library
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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 $R$.

Publié le : 1994-01-01
Classification:  13C14,  13D02,  13D05,  13D45,  13H10,  18G10,  18G20 
@article{118660,
     author = {Edgar E. Enochs and Jenda M. G. Overtoun},
     title = {On Cohen-Macaulay rings},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {35},
     year = {1994},
     pages = {223-230},
     zbl = {0816.13008},
     mrnumber = {1286568},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118660}
}

Enochs, Edgar E.; Overtoun, Jenda M. G. On Cohen-Macaulay rings. Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) pp. 223-230. http://gdmltest.u-ga.fr/item/118660/

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