Gaussian ideals and the Dedekind-Mertens lemma (Q2717168)
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scientific article; zbMATH DE number 1604747
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Gaussian ideals and the Dedekind-Mertens lemma |
scientific article; zbMATH DE number 1604747 |
Statements
18 September 2001
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Gaussian polynomial
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content of polynomial
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Gaussian ideal
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Dedekind-Mertens number
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Gaussian ideals and the Dedekind-Mertens lemma (English)
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Let \(R\) be a commutative ring, \(t\) be an indeterminate over \(R\) and denote by \(c(f)\) the content of \(f\in R[t]\). The authors give a survey on the known results concerning the following two problems:NEWLINENEWLINENEWLINE(i) exploration of the relationship between the Gaussian ideal \(c(fg)\) and \(c(f)c(g)\);NEWLINENEWLINENEWLINE(ii) estimation of the Dedekind-Mertens number, respectively generalizations of it.NEWLINENEWLINEFor the entire collection see [Zbl 0960.00042].
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