On Bass orders (Q1204383)
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scientific article; zbMATH DE number 130473
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Bass orders |
scientific article; zbMATH DE number 130473 |
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On Bass orders (English)
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28 March 1993
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In 1967 \textit{Yu. A. Drozd, V. V. Kirichenko} and \textit{A. V. Rojter} [Izv. Akad. Nauk SSSR, Ser. Mat. 31, 1415-1436 (1967; Zbl 0204.053)] gave a classification of Bass-orders. These are \(R\)-orders \(\Lambda\) in a separable algebra, such that every overorder is Gorenstein. Here \(R\) is a complete discrete valuation ring. The crucial lemma to achieve this goal is the description of the local Bass orders in \((D)_ 2\), where \(D\) is a separable skewfield. The author constructs new families -- in fact infinite chains -- of Bass orders in \((D)_ 2\), which are not covered by the result of Drozd, Kirichenko and Rojter.
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infinite chains of Bass orders
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classification of Bass-orders
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separable algebra
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overorder
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complete discrete valuation ring
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local Bass orders
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separable skewfield
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0.8777146339416504
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0.8761501312255859
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0.8311827182769775
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0.7718840837478638
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