Abstract
In this paper, the finite subspaces of orderings of the ring of regular functions on an algebraic set V are compared with those of the ring of analytic function germs at a point of V. Necessary and sufficient conditions for subspaces to be isomorphic are given, both from a purely algebraic and from a more geometric point of view. As a result, a criterion for analytic separation of semialgebraic sets is proved. Extendability of such subspaces is also proved to be stable under suitable approximations.
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.
