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Valuation Rings and Integral Closure

Published online by Cambridge University Press:  20 November 2018

Thomas G. Lucas
Thomas G. Lucas*
Affiliation:
Department of Mathematics University of North Carolina at Charlotte, Charlotte, NC 28223
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Abstract

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A famous theorem of Krull's is that the integral closure of an integral domain D is the intersection of the valuation domains that contain D. An example is given to show that the same result need not hold for the integral closure of a ring with zero divisors.

Keywords

13A1813B20
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 33 , Issue 3 , 01 September 1990 , pp. 327 - 330
Copyright
Copyright © Canadian Mathematical Society 1990

References

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