Abstract
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; for primary ideals the bound is linear in the Samuel multiplicity of the ideal. Finally we extend these techniques to generic complete intersections of dimension one.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.