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On the flat overrings of an integral domain

Published online by Cambridge University Press:  18 May 2009

Bronislaw Wajnryb  and
Abraham Zaks
Bronislaw Wajnryb
Affiliation:
Technion—I.I.T., Haifa, Israel
Abraham Zaks
Affiliation:
Northwestern University, Evanston, Illinois, U.S.A.
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The present paper deals with relations between flat overrings and quotient rings. Weare mainly concerned with Richman's results [10] on flat overrings and withthose of Davis [2], Gilmer [3], Gilmer and Heinzer [4], Gilmer and Ohm [5], and Mott [8], on rings with the QR propertyand with the property (#) defined in Section 1. Some of their results are generalized, and it is shown that certain theorems, which at first glance seem to have nothing in common, are in fact particular cases of a single more general theorem.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 12 , Issue 2 , September 1971 , pp. 162 - 165
Copyright
Copyright © Glasgow Mathematical Journal Trust 1971

References

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