“School of Mathematics”
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| Paper IPM / M / 7699 |
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| Abstract: | |||||
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Let (R,\frakm) be commutative Noetherian local ring.
It is shown that R is Cohen-Macaulay ring if there exists a
Cohen-Macaulay finite (i.e. finitely generated) R-module with
finite upper Gorenstein dimension. In addition, we show that, in
the Intersection Theorem, projective dimension can be replaced by
quasi-projective dimension.
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