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Special homological dimensions and Intersection Theorem
Let (R,\fm) be commutative Noetherian local ring. It is shown that is
Cohen--Macaulay ring if there exists a Cohen--Macaulay finite (i.e. finitely
generated) --module with finite upper Gorenstein dimension. In addition, we
show that, in the Intersection Theorem, projective dimension can be replaced by
quasi--projective dimension.Comment: 10 page
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