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Finite Intersections of Pid or Factorial Overrings

Published online by Cambridge University Press:  20 November 2018

D. D. Anderson  and
David F. Anderson
D. D. Anderson
Affiliation:
Department of Mathematics, The University of IowaIowa City, Iowa 52242
David F. Anderson
Affiliation:
Department of Mathematics, The University of TennesseeKnoxville, Tennessee 37996-1300
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Abstract

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In this paper we study when an integral domain is a finite intersection of PID or factorial overrings. We show that any Krull domain is the intersection of a PID and a field. We give several sufficient conditions for a Krull domain to be an intersection of two PID or factorial overrings.

Keywords

13G0513B9913A0513F0613F1013F15
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 28 , Issue 1 , 01 March 1985 , pp. 91 - 97
Copyright
Copyright © Canadian Mathematical Society 1985

References

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