Abstract
AbstractWe prove a necessary and sufficient criterion for the ring of integer‐valued polynomials to behave well under localization. Then, we study how the Picard group of Int(D) and the quotient group behave in relation to Jaffard, weak Jaffard, and pre‐Jaffard families; in particular, we show that when T ranges in a Jaffard family of D, and study when similar isomorphisms hold when T ranges in a pre‐Jaffard family. In particular, we show that the previous isomorphism holds when D is an almost Dedekind domain such that the ring integer‐valued polynomials behave well under localization and such that the maximal space of D is scattered with respect to the inverse topology.
Sign-in/Register to access full text options 
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.
