Abstract
Let R R be a local noetherian domain with algebraically closed residue field and let M M be a finitely generated module of rank r r which is not free. Then there is some minimal generator x x of M M such that the ideal of images of x x under maps of M M to R R has height at most r r .
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: 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.
