Finite conductor properties of \(R(X)\) and \(R\langle X\rangle\) (Q2741198)
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scientific article; zbMATH DE number 1642444
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finite conductor properties of \(R(X)\) and \(R\langle X\rangle\) |
scientific article; zbMATH DE number 1642444 |
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4 November 2001
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GCD-domain
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ascent
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descent
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finite conductor
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0.7911178
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0.7861479
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0.78321165
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0.7816778
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Finite conductor properties of \(R(X)\) and \(R\langle X\rangle\) (English)
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Let \(R\) be a commutative ring and \(x\) an indeterminate over \(R\). Let \(R(x)=R[x]_U\) and \(R\langle x\rangle= R[x]_V\), where \(U=\{f\in R[x]\), \(f\) is monic\} and \(V=\{f\in R[x]\), content of \(f=R\}\). This article surveys the known results on ascent and descent of finite conductor properties between \(R\), \(R\langle x\rangle\), and \(R(x)\) focussing on recent results obtained by the author.NEWLINENEWLINEFor the entire collection see [Zbl 0964.00058].
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