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Hilbert coefficients and Buchsbaumness of associated graded rings

โœ Scribed by Shiro Goto; Koji Nishida

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
179 KB
Volume
181
Category
Article
ISSN
0022-4049

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โœฆ Synopsis

Let A be a Noetherian local ring with the maximal ideal m and I an m-primary ideal. The purpose of this paper is to generalize Northcott's inequality on Hilbert coe cients of I given in Northcott (J. London Math. Soc. 35 (1960) 209), without assuming that A is a Cohen-Macaulay ring. We will investigate when our inequality turns into an equality. It is related to the Buchsbaumness of the associated graded ring of I .

๐Ÿ“œ SIMILAR VOLUMES

On the Buchsbaum Property of Associated
On the Buchsbaum Property of Associated Graded Rings
โœ Yukio Nakamura ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 323 KB

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 gi