On locally finite alternative division rings with valuation (Q1093720)
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scientific article; zbMATH DE number 4023530
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On locally finite alternative division rings with valuation |
scientific article; zbMATH DE number 4023530 |
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On locally finite alternative division rings with valuation (English)
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1987
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This paper gives a new, easy proof of the known theorem that a locally finite complete alternative division ring with a valuation is a field. The prior proof used the theorem of Bruck and Kleinfeld which classifies all alternative division rings with IP. As a corollary it is shown that, if a locally finite triangle building is Moufang, then it is Desarguesian, i.e. classical.
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valuation
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alternative division rings
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triangle building
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Moufang
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Desarguesian
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