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On the Gorenstein Property of the Associated Graded Ring and the Rees Algebra of an Ideal

✍ Scribed by A. Ooishi


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
577 KB
Volume
155
Category
Article
ISSN
0021-8693

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On the Depth of the Associated Graded Ri
✍ Laura Ghezzi πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 161 KB

Let R be a local Cohen᎐Macaulay ring, let I be an R-ideal, and let G be the associated graded ring of I. We give an estimate for the depth of G when G fails to be Cohen᎐Macaulay. We assume that I has a small reduction number and sufficiently good residual intersection properties and satisfies local