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On order compatible places of near fields

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Abstract

It is shown that any place of a planar near field K lying in an ordered, not necessarily planar near field F gives rise to an order compatible place of F. In particular, we present an algebraic proof for the existence of natural places of ordered near fields.

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  1. Fachbereich Mathematik, Universität Dortmund, Postfach 50 05 00, 4600, Dortmund 50

    Franz B. Kalhoff

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  1. Franz B. Kalhoff
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Kalhoff, F.B. On order compatible places of near fields. Results. Math. 15, 66–74 (1989). https://doi.org/10.1007/BF03322447

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  • DOI: https://doi.org/10.1007/BF03322447

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