Valuations on extensions of Weyl skew fields (Q1921915)
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scientific article; zbMATH DE number 923689
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Valuations on extensions of Weyl skew fields |
scientific article; zbMATH DE number 923689 |
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Valuations on extensions of Weyl skew fields (English)
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21 May 1997
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The main result is that if \(k\subset K\) is a finitely generated field extension of transcendence degree 1, and \(k'=K'\) is the corresponding extension of skew fields of the first Weyl algebra, then the \(k\)-valuations of \(K\) are in one-to-one correspondence with the \(k'\)-valuations of \(K'\).
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valuations
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finitely generated field extensions
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skew fields
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Weyl algebras
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