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Ideals Having the Expected Reduction Number

โœ Scribed by Ulrich, Bernd (author)

Book ID
118225243
Publisher
Johns Hopkins University Press
Year
1996
Tongue
English
Weight
733 KB
Volume
118
Category
Article
ISSN
0002-9327

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๐Ÿ“œ SIMILAR VOLUMES

Reduction Numbers of Ideals
Reduction Numbers of Ideals
โœ Wolmer V. Vasconcelos ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 508 KB

We give general bounds for the reduction numbers of ideals in arbitrary Noetherian rings and multiplicity-dependent bounds for m-primary ideals in a Noetherian local ring (R, m). In the case of polynomial rings over fields the bound is a non-elementary function with four levels of exponentiation; fo

Borel-fixed ideals and reduction number
Borel-fixed ideals and reduction number
โœ Lรช Tuรขn Hoa; Ngรด Viรชt Trung ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 195 KB

The aim of this paper is to study the relationship between the reduction number and Borel-fixed ideals in all characteristics. Especially it is shown that r(R/I ) r(R/I lex ), where I lex denotes the unique lex-segment ideal whose Hilbert function is equal to that of I . This solves a recent questio