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Archiv der Mathematik

, Volume 86, Issue 2, pp 101–110 | Cite as

A note on number of orderings of higher level

  • Katarzyna Osiak
  • Andrzej Sładek
Original Paper

Abstract.

The main aim of the paper is to find an explicit formula for the number of orderings of higher level. Among others, we discuss the relationship between the number of orderings of higher level and the number of orderings of level 1. We also construct a field with a given possible number of orderings of higher level.

Mathematics Subject Classification (2000).

Primary 11E76 Secondary 12D15 12J10 

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Copyright information

© Birkhäuser Verlag, Basel 2006

Authors and Affiliations

  1. 1.Institute of MathematicsSilesian UniversityKatowicePoland

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