Birational-integral extensions and differential modules (Q1065870)
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scientific article; zbMATH DE number 3922809
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Birational-integral extensions and differential modules |
scientific article; zbMATH DE number 3922809 |
Statements
Birational-integral extensions and differential modules (English)
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1985
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A birational-integral extension A of a commutative Noetherian domain R (i.e. \(R\subset A\subset \bar R\), where \(\bar R\) is the integral closure of R) is said to be of ''cuspidal type'' if A coincides with the seminormalization of R in A. - The note contains a straightforward proof of the fact that any cuspidal type extension is obtained by a finite chain of constant subrings of some derivations.
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integral extension
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Noetherian domain
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seminormalization
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cuspidal type extension
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derivations
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