A remark on the Henselization of a regular local ring (Q1284267)
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scientific article; zbMATH DE number 1271840
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A remark on the Henselization of a regular local ring |
scientific article; zbMATH DE number 1271840 |
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A remark on the Henselization of a regular local ring (English)
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29 June 2000
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The author gives a characterization of the Henselization of an excellent regular local ring in terms of elements of the completion. Thus if \((R,m)\) is an excellent regular local with \(\widehat R\) as its completion, then an element \(a\) belongs to the Henselization \(\widetilde R\) if and only if there exists \(a b\) in \(\widehat R\) such that a \(b\) belongs to \(R\) upto a multiplication by a unit in \(\widehat R\).
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Henselization
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excellent regular local ring
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