On locally finite alternative division rings with valuation |
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| Authors: | Hendrik Van Maldeghem |
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| Institution: | (1) State University of Ghent Seminar of Geometry and Combinatorics, Krijgslaan 281, B-9000 Gent, Belgium |
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| Abstract: | We prove that a locally finite complete alternative division ring with valuation is a field, without using the celebrated theorem of Bruck and Kleinfeld, which classifies all division rings with IP.The author's research is supported by the National Fund for Scientific research (Belgium). |
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