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On complete integral closure and Archimedean valuation domains
Published online by Cambridge University Press: 09 April 2009
Abstract
Suppose D is an integral domain with quotient field K and that L is an extension field of K. We show in Theorem 4 that if the complete integral closure of D is an intersection of Archimedean valuation domains on K, then the complete integral closure of D in L is an intersection of Archimedean valuation domains on L; this answers a question raised by Gilmer and Heinzer in 1965.
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 61 , Issue 3 , December 1996 , pp. 377 - 380
- Copyright
- Copyright © Australian Mathematical Society 1996
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