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Root closure in integral domains, II

Published online by Cambridge University Press:  18 May 2009

David F. Anderson
David F. Anderson
Affiliation:
Department of Mathematics, University of Tennessee, Knoxville, Tennessee 37996, U.S.A.
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In this note, we give an elementary procedure for constructing n-root closed integral domains. We then use this construction to give two interesting examples. First, we give an example of a root closed integral domain which is not quasinormal. Secondly, we show that for any subset 5 of odd positive primes there is a one-dimensional affine domain which is p-root closed for a prime p if and only if p ∈ S.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 31 , Issue 1 , January 1989 , pp. 127 - 130
Copyright
Copyright © Glasgow Mathematical Journal Trust 1989

References

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