Special homological dimensions and Intersection Theorem
Commutative Algebra
2007-05-23 v1
Abstract
Let 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.
Cite
@article{arxiv.math/0404182,
title = {Special homological dimensions and Intersection Theorem},
author = {Tirdad Sharif and Siamak Yassemi},
journal= {arXiv preprint arXiv:math/0404182},
year = {2007}
}
Comments
10 pages