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arXiv · 0911.4196

Semilocal formal fibers of principal prime ideals

John Chatlos·Brian Simanek·Nathaniel G. Watson·Sherry X. Wu
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Abstract

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.

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John Chatlos, Brian Simanek, Nathaniel G. Watson, Sherry X. Wu. 2009-11-21. Semilocal formal fibers of principal prime ideals. https://arxiv.org/abs/0911.4196

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