Let I be an α-primary ideal in a Buchsbaum local ring A, α . In this paper, we investigate the Buchsbaum property of the associated graded ring of I when the equality I 2 s α I holds for some minimal reduction α of I. However, the Buchsbaum property does not always follow even if I 2 s α I. So we gi
β¦ LIBER β¦
On the associated graded ring of a Buchsbaum ring
β Scribed by Ngo Viet Trung
- Publisher
- John Wiley and Sons
- Year
- 1982
- Tongue
- English
- Weight
- 651 KB
- Volume
- 107
- Category
- Article
- ISSN
- 0025-584X
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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