Remarks on generalized rings of quotients. IV (Q1086629)
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scientific article; zbMATH DE number 3985376
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Remarks on generalized rings of quotients. IV |
scientific article; zbMATH DE number 3985376 |
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Remarks on generalized rings of quotients. IV (English)
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1985
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For part III see [ibid. 9, 205--212 (1969; Zbl 0187.00402)]. The main result of this paper is that if \(R\) is a subring of an integral domain \(R'\) which is not contained in the quotient field of \(R\), and if, for every subring \(R''\) of \(R'\) with \(R\subseteq R''\subseteq R'\) it is the case that \(R'\) is \(R''\)-flat, then \(R'\) must be a field.
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generalized ring of quotients
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flat algebra
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integral extension
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von Neumann regular ring
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