Abstract

Let R be a commutative ring. If A subset of R is an ideal and F is a monoidal semifilter of ideals in R, we say that a prime ideal P is a realization of (A,F) if P superset of A and P is not an element of F. We give if and only if conditions for the existence of a realization of a family {(At,Ft)}t?T of such pairs indexed by a finite rooted tree T. We also apply our results to trees of prime ideals outside a given monoidal semifilter in a tensor product of algebras.

Full Text
Paper version not known

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 call

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.