Generating non-Noetherian modules constructively (Q706187)
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scientific article; zbMATH DE number 2132127
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generating non-Noetherian modules constructively |
scientific article; zbMATH DE number 2132127 |
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Generating non-Noetherian modules constructively (English)
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2 February 2005
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This paper contains constructive proofs of a Basic Element theorem and versions of the ``splitting-off'' theorems of Serre and Forster-Swan in the non-Noetherian setting. As a tool the authors introduce a new notion of dimension for rings.
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non-Noetherian module
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ring dimension
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splitting-off theorem
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