## “School of Mathematics”

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Paper   IPM / M / 7699
School of Mathematics
Title:   Special homological dimensions and intersection theorem
Author(s):
 1 T. Sharif 2 S. Yassemi
Status:   Published
Journal: Math. Scand.
Vol.:  96
Year:  2005
Pages:   161-168
Supported by:  IPM
Abstract:
Let (R,\frakm) 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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