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Spring 1999 Intermediate rings between a local domain and its completion
William Heinzer, Christel Rotthaus, Sylvia Wiegand
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Illinois J. Math. 43(1): 19-46 (Spring 1999). DOI: 10.1215/ijm/1255985335


We consider the structure of certain intermediate domains betweena local Noetherian domain $R$ and an ideal-adic completion $R^{\ast}$ of $R$ that arise as the intersection of $R^{\ast}$ with a field containing $R$. In the case where the intersection domain $A$ can be expressed as a directed union of localized polynomial extension rings of $R$, the computation of $A$ is easier. We examine conditions for this to happen. We also present examples to motivate and illustrate the concepts considered.


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William Heinzer. Christel Rotthaus. Sylvia Wiegand. "Intermediate rings between a local domain and its completion." Illinois J. Math. 43 (1) 19 - 46, Spring 1999.


Published: Spring 1999
First available in Project Euclid: 19 October 2009

zbMATH: 0916.13002
MathSciNet: MR1665712
Digital Object Identifier: 10.1215/ijm/1255985335

Primary: 13J10
Secondary: 13F25 , 13J05

Rights: Copyright © 1999 University of Illinois at Urbana-Champaign

Vol.43 • No. 1 • Spring 1999
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