A divisor theoretic approach towards the arithmetic of Noetherian domains (Q1818247)
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scientific article; zbMATH DE number 1383742
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A divisor theoretic approach towards the arithmetic of Noetherian domains |
scientific article; zbMATH DE number 1383742 |
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A divisor theoretic approach towards the arithmetic of Noetherian domains (English)
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16 July 2001
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The purpose of this paper is to generalize the divisor theories for Krull domains and weakly Krull domains to Noetherian domains with finitely generated integral closure. As an application, one deduces an exact sequence connecting the class group of a Noetherian domain with finitely generated integral closure and that of its integral closure, which generalizes the Mayer-Viëtoris sequence for one dimensional Noetherian domains.
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\(v\)-ideal
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divisor theory
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Noetherian domains
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finitely generated integral closure
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class group
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