A note on Swan modules (Q1262928)
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scientific article; zbMATH DE number 4125600
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on Swan modules |
scientific article; zbMATH DE number 4125600 |
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A note on Swan modules (English)
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1989
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The author studies Swan modules over certain non-maximal orders in this note. Motivation for studying such modules was given by Martin Taylor's work on Galois module structures. Taylor showed that a certain generalized Swan module is an obstruction to the freeness of a ring of integers over its associated order. The author shows for example that the resolvent element lies in the associated order.
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Swan modules
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non-maximal orders
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Galois module
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resolvent
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