Special homological dimensions and Intersection Theorem
Sharif, Tirdad · Yassemi, Siamak
Original · EN
Let (R,) 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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