Results in Mathematics

, Volume 7, Issue 1, pp 58–62 | Cite as

Embedding of near-fields with real valuations into planar near-fields

  • Detlef Gröger


In [7] Wefelscheid studied all examples of nonplanar near-fields known so far. It was shown that there exists a valuation on each of these near-fields F, such that F together with the topology induced by the valuation is a topological near-field which can be completed relative to its additive uniform structure. The completion $hat F$ of F always turned out to be planar. The aim of the note presented here is to generalize these results to a class of near-fields which contains the examples mentioned above.


Mapping Versus Uniform Structure Fundamental System Tion Versus Property Versus 
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Copyright information

© Birkhäuser Verlag, Basel 1984

Authors and Affiliations

  • Detlef Gröger
    • 1
  1. 1.Institut für Mathematik der TechnischenUniversität MünchenMünchen 2

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