Special homological dimensions and Intersection Theorem
arXiv:math/0404182
Abstract
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.
10 pages