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Normal Ideals and Expected Reduction Numbers #

โœ Scribed by Johnson, Mark R.; Morey, Susan E.


Book ID
127256381
Publisher
Taylor and Francis Group
Year
2005
Tongue
English
Weight
126 KB
Volume
33
Category
Article
ISSN
0092-7872

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๐Ÿ“œ SIMILAR VOLUMES


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
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