A note on strong locally divided domains (Q1177330)
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scientific article; zbMATH DE number 20257
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on strong locally divided domains |
scientific article; zbMATH DE number 20257 |
Statements
A note on strong locally divided domains (English)
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26 June 1992
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The author gives a uniform simple proof for the following assertion. Let \(R\) be an integral domain such that each overring of \(R\) is a pseudovaluation domain (resp., divided domain, going-down domain, locally pseudovaluation domain, locally divided domain). Then \(R/P\) has the same property for each prime ideal \(P\) of \(R\).
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integral domain
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pseudovaluation domain
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locally divided domain
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