Semilocal formal fibers of principal prime ideals

Semilocal formal fibers of principal prime ideals

Let (T,m) be a complete local (Notherian) ring, C a finite set of pairwise incomparable nonmaximal prime ideals of T, and p a nonzero element. We provide necessary and sufficient conditions for T to be the completion of an integral domain A containing the prime ideal pA whose formal fiber is semiloc...

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Veröffentlicht in:arXiv.org 2009-11
Hauptverfasser: Chatlos, John, Simanek, Brian, Watson, Nathaniel G, Wu, Sherry X
Format: Artikel
Sprache:eng
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Zusammenfassung:Let (T,m) be a complete local (Notherian) ring, C a finite set of pairwise incomparable nonmaximal prime ideals of T, and p a nonzero element. We provide necessary and sufficient conditions for T to be the completion of an integral domain A containing the prime ideal pA whose formal fiber is semilocal with maximal ideals the elements of C.
ISSN:2331-8422