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A note on certain subsets of algebraic integers

Published online by Cambridge University Press:  17 April 2009

T.W. Atterton
T.W. Atterton
Affiliation:
University of New South Wales, Kensington, NSW.
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Abstract

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This paper is concerned with certain subsets of a finite extension K of the quotient field of an integral domain R. These subsets are contained in the integral closure of R in K and when R is integrally closed they are identical with it, but generally they need not even be rings. Various inclusion relations are studied and examples are given to show that these inclusions may be strict (with one exception which is still undecided).

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 1 , Issue 3 , December 1969 , pp. 345 - 352
Copyright
Copyright © Australian Mathematical Society 1969

References

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