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Local Minimal Overrings

Published online by Cambridge University Press:  20 November 2018

Ira J. Papick
Ira J. Papick*
Affiliation:
Adelphi University, Garden City, New York
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Let R be a (commutative integral) domain having quotient field K. A domain S satisfying , is called an overring of R. We say R has a minimal overring T, in case and there are no domains properly between R and T. The purpose of this paper is the study of certain classes of coherent domains having local minimal overrings; that is, having minimal overrings with unique maximal ideals.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 28 , Issue 4 , 01 August 1976 , pp. 788 - 792
Copyright
Copyright © Canadian Mathematical Society 1976

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