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On the Buchsbaum Property of Associated Graded Rings

โœ Scribed by Yukio Nakamura

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
323 KB
Volume
209
Category
Article
ISSN
0021-8693

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โœฆ Synopsis

Let I be an แ’Š-primary ideal in a Buchsbaum local ring A, แ’Š . In this paper, we investigate the Buchsbaum property of the associated graded ring of I when the equality I 2 s แ’Ž I holds for some minimal reduction แ’Ž of I. However, the Buchsbaum property does not always follow even if I 2 s แ’Ž I. So we give certain conditions for associated graded rings to be Buchsbaum in this situation.

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