Semilocal formal fibers of principal prime ideals

Details Semilocal formal fibers of principal prime ideals Semilocal formal fibers of principal prime ideals

2009-11-21

arxiv.org/abs/0911.4196v1

Mathematics

Commutative Algebra

15 pages

Scientific paper

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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