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Lokal-Global Prinzipien für Anordnungen bewerteter Schiefkörper

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Literaturverzeichnis

  1. R. Baer, Über nicht-archimedisch geordnete Körper. Sitzungsber. Heidelberger Akademie,8, Abh., 3–13 (1927).

    Google Scholar 

  2. E. Becker undE. Köpping, Reduzierte quadratische Formen und Semiordnungen reeller Körper. Abh. Math. Sem. Univ. Hamburg46, 143–177 (1977).

    Google Scholar 

  3. L. Bröcker, Zur Theorie der quadratischen Formen über formal-reellen Körpern. Math. Ann.210, 233–256 (1974).

    Google Scholar 

  4. L. Bröcker, Characterization of Fans and Hereditarily Pythagorean Fields. Math. Z.151, 149–163 (1976).

    Google Scholar 

  5. P. Conrad, On ordered division rings. Proc. Amer. Math. Soc.5, 323–328 (1954).

    Google Scholar 

  6. T. Craven, Wittrings and orderings of skew fields. J. Algebra77, 74–96 (1982).

    Google Scholar 

  7. L. Fuchs, Note on ordered groups and rings. Fund. Math.46, 167–174 (1958).

    Google Scholar 

  8. L.Fuchs, Partially ordered algebraic systems. Oxford-London-New York-Paris 1963.

  9. H. Hahn, Nichtarchimedische Größensysteme. Ber. Wiener Akad. Wiss., Math. Nat. Wiss. Klasse, Abt. IIa,116, 601–635 (1907).

    Google Scholar 

  10. D.Hilbert, Grundlagen der Geometrie, 10. Auflage. Stuttgart 1968.

  11. W. Krull, Allgemeine Bewertungstheorie. J. Reine Angew. Math.167, 160–196 (1932).

    Google Scholar 

  12. T. Y.Lam, The Theory of ordered Fields. Proceedings of the Algebra and Ring Theory Conference, Univ. of Oklahoma, March 1979.

  13. M. Marshall, Classification of finite spaces of orderings. Canad. J. Math.31, 320–330 (1979).

    Google Scholar 

  14. M. Marshall, The Wittring of a space of orderings. Trans. Amer. Math. Soc.258, 505–521 (1980).

    Google Scholar 

  15. R. Moufang, Einige Untersuchungen über geordnete Schiefkörper. J. Reine Angew. Math.176, 203–223 (1937).

    Google Scholar 

  16. B. H. Neumann, On ordered division rings. Trans. Amer. Math. Soc.66, 202–252 (1949).

    Google Scholar 

  17. O. F. G. Schilling, The Theory of Valuations. Math. Surveys Number IV, AMS, New York 1950.

    Google Scholar 

  18. T. Szele, On ordered skew fields. Proc. Amer. Math. Soc.3, 410–413 (1952).

    Google Scholar 

  19. A. Tschimmel, Über Anordnungsräume von Schiefkörpern. Dissertation, Münster 1981/82.

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  1. Angelika Tschimmel

    Present address: Fachbereich Mathematik, Bergische Universität-Gesamthochschule Wuppertal, Gaußstr. 20, D-5600, Wuppertal 1

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    1. Angelika Tschimmel
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    Tschimmel, A. Lokal-Global Prinzipien für Anordnungen bewerteter Schiefkörper. Arch. Math 44, 48–58 (1985). https://doi.org/10.1007/BF01193780

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