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On the associated primes and the depth of the second power of squarefree monomial ideals

✍ Scribed by Terai, Naoki; Trung, Ngo Viet


Book ID
122134888
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
321 KB
Volume
218
Category
Article
ISSN
0022-4049

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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