On the Associated Graded Rings of Ideals of Reduction Number 2
β Scribed by Hsin-Ju Wang
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 173 KB
- Volume
- 236
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
This paper studies the question of when the associated graded ring I = nβ₯0 I n /I n+1 of a certain ideal I in a local ring is Gorenstein. The main result implies, for example, that if A is a regular local ring, is a prime ideal in A with dim A/ = 2, and A/ is a complete intersection in codimension o
Let R be a local CohenαMacaulay 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 CohenαMacaulay. We assume that I has a small reduction number and sufficiently good residual intersection properties and satisfies local
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