“School of Mathematics”
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| Paper IPM / M / 2332 |
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| Abstract: | |||||
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We extend a criterion of Gerko for a ring to be Cohen-Macaulay to
arbitrary, not necessarily local, Noetherian rings. Our version
reads as follows: The Noetherian ring R is Cohen-Macaulay if and
only if for all finitely generated R-modules M, CM− dimR M is
finite.
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