Author:
Wajnryb Bronislaw,Zaks Abraham
Abstract
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.
Publisher
Cambridge University Press (CUP)
Cited by
6 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Topological properties of localizations, flat overrings and sublocalizations;Journal of Pure and Applied Algebra;2019-03
2. -Extensions;Ring Theory and Its Applications;2014
3. OVERRINGS OF t-COPRIMELY PACKED DOMAINS;Journal of the Korean Mathematical Society;2011-01-01
4. Half-factorial-domains;Israel Journal of Mathematics;1980-12
5. A-subalgebras of A[x];Journal of Algebra;1979-02