Normal Ideals and Expected Reduction Numbers #
โ 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
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
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