Special homological dimensions and Intersection Theorem

Details Special homological dimensions and Intersection Theorem Special homological dimensions and Intersection Theorem

2004-04-08

arxiv.org/abs/math/0404182v1

Mathematics

Commutative Algebra

10 pages

Scientific paper

Let $(R,\fm)$ 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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