Lifting seminormality (Q841544)
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scientific article; zbMATH DE number 5604540
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lifting seminormality |
scientific article; zbMATH DE number 5604540 |
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Lifting seminormality (English)
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17 September 2009
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The aim of this paper is to show that seminormality can be lifted: If \(\,(R,M)\,\) is a local noetherian ring, \(\,y\in M\,\) is a regular element, and the ring \(\,R/yR\,\) is seminormal, then \(R\) is seminormal, too.
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local ring
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noetherian ring
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regular element
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seminormal ring
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