Abstract
This paper provides a counterexample to a conjecture on Nagata rings: a two-dimensional quasi-local domain such that, for every n, the Nagata ring A ( n) is strong S (and also catenary) but for n ≥ 1, the polynomial ring A[ n] is not strong S (nor catenary).
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.
