On the Serre, Bass and Forster-Swan theorems (Q704235)
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scientific article; zbMATH DE number 2127123
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Serre, Bass and Forster-Swan theorems |
scientific article; zbMATH DE number 2127123 |
Statements
On the Serre, Bass and Forster-Swan theorems (English)
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13 January 2005
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The author defines a new dimension of commutative rings denoted by H-dim. He improves Serre's splitting off theorem by using lower bounds based on H-dim. Similarly to Heitmann's J-dim, using H-dim does not require the Noetherian property. Although the paper contains no proofs, all the necessary results are explicitly stated.
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cancelation
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dimension
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Forster-Swan theorem
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number of generators
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projective module
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splitting off
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stable range
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unimodular
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