Special homological dimensions and intersection theorem

Authors

  • Tirdad Sharif
  • Siamak Yassemi

DOI:

https://doi.org/10.7146/math.scand.a-14950

Abstract

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.

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Published

2005-06-01

Issue

Vol. 96 No. 2 (2005)

Section

Articles

How to Cite

[1]
T. Sharif and S. Yassemi, “Special homological dimensions and intersection theorem”, Math. Scand., vol. 96, no. 2, pp. 161–168, Jun. 2005, doi: 10.7146/math.scand.a-14950.