Resumen de Special homological dimensions and Intersection Theorem

Siamak Yassemi, T. Sharif

• Let (R,m) 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.