Skip to main content

Das Problem von Souslin für geordnete algebraische Strukturen

Contributed Papers

Part of the Lecture Notes in Mathematics book series (LNM,volume 537)

Keywords

  • Dann Gilt
  • Nach Lemma

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   44.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   59.95
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literatur

  1. R. BAER: Dichte, Archimedizität und Starrheit geordneter Körper; Mathematische Annalen 188 (1970) pp. 165–205.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. C.C. CHANG—H.J. KEISLER: Model Theory. (Studies in Logic, vol. 73) Amsterdam-London-New York 1973.

    Google Scholar 

  3. P. CONRAD: Right-ordered Groups. The Michigan Math. Journal 6 (1959) pp. 267–275.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. K.J. DEVLIN—H. JOHNSBRÅTEN: The Souslin Problem. Springer-Lecture-Notes in Mathematics, vol. 405. Berlin-Heidelberg-New York 1974.

    Google Scholar 

  5. F.R. DRAKE: Set Theory—an introduction to large Cardinals (Studies in Logic, vol. 76) Amsterdam-London-New York 1974.

    Google Scholar 

  6. L. FUCHS: Teilweise geordnete algebraische Strukturen. Göttingen 1966.

    Google Scholar 

  7. P. HÁJEK—P. VOPENKA: Some permutation submodels of the model ℬ. Bull. Acad. Polon. Sci. 14 (1966) pp. 1–7.

    MathSciNet  Google Scholar 

  8. G.H. HARDY—E.M. WRIGHT: Einführung in die Zahlentheorie. München 1958.

    Google Scholar 

  9. D. HILBERT: Grundlagen der Geometrie. Festschrift zur Feier der Enthüllung des Gauss-Weber Denkmals in Göttingen. Teubner-Verlag in Leipzig 1899 (10.Auflage Teubner-Stuttgart 1968).

    Google Scholar 

  10. O. HÖLDER: Die Axiome der Quantität und die Lehre vom Maß. Berichte der Verh. d. Sächsischen Ges. d. Wissenschaften zu Leipzig, Math. Phys. Classe, 53 (1901) pp. 1–64.

    MATH  Google Scholar 

  11. K. ISEKI: On Simply ordered Groups. Portugaliae Mathematica 10, (1951) pp. 85–88.

    MathSciNet  MATH  Google Scholar 

  12. Th.J. JECH: Non-Provability of Souslin’s Hypothesis. Commentationes Mathematicae Universitatis Carolinae (Prag) 8(1967) pp. 291–305.

    MathSciNet  MATH  Google Scholar 

  13. A.S. JESENIN-VOLPIN: Unprovability of Souslin’s Hypothesis without the aid of the axiom of choice in the Bernays-Mostowski axiom—system. In: Amer. Math. Soc. Translations (Series 2), vol. 23 (1963) pp. 83–87.

    Google Scholar 

  14. H. KARZEL: Bericht über projektive Inzidenzgruppen. Jahresberichte der Deutschen Math. Vereinigung 67 (1965) pp. 58–92.

    MathSciNet  MATH  Google Scholar 

  15. A.G. KUROSCH: Gruppentheorie II. Berlin 1972.

    Google Scholar 

  16. F. LOONSTRA: Ordered Groups. Indagationes Math. 6 (1946) pp. 41–46.

    MathSciNet  MATH  Google Scholar 

  17. B.H. NEUMANN: On the commutativity of addition. The Journal of the London Math. Soc., 15 (1940) pp. 203–208.

    CrossRef  MathSciNet  MATH  Google Scholar 

  18. M.E. RUDIN: Souslin’s conjecture. Amer. Math. Monthly 76 (1969) pp. 1113–1119.

    CrossRef  MathSciNet  MATH  Google Scholar 

  19. W. SIERPINSKI: Cardinal and Ordinal Numbers. Monografie Matematyczne TOM.34. 2nd revised edition Warszawa 1965.

    Google Scholar 

  20. R.M. SOLOVAY—S. TENNENBAUM: Iterated Cohen Extensions and Souslin’s Problem. Annals of Math. 94 (1971) pp. 201–245.

    CrossRef  MathSciNet  MATH  Google Scholar 

  21. M. SOUSLIN: Problème 3. Fundamenta Mathematicae 1 (1920) p. 223.

    Google Scholar 

  22. S. TENNENBAUM: Souslin’s Problem. Proceedings of the National Acad. Sci. USA, vol. 59 (1968) pp. 60–63.

    CrossRef  MathSciNet  MATH  Google Scholar 

  23. J.L. ZEMMER: Near-fields, planar and non-planar. The Mathematics Student (India) vol. 32 (1964) pp. 145–150.

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1976 Springer-Verlag

About this paper

Cite this paper

Felgner, U. (1976). Das Problem von Souslin für geordnete algebraische Strukturen. In: Marek, W., Srebrny, M., Zarach, A. (eds) Set Theory and Hierarchy Theory A Memorial Tribute to Andrzej Mostowski. Lecture Notes in Mathematics, vol 537. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0096896

Download citation

  • DOI: https://doi.org/10.1007/BFb0096896

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07856-2

  • Online ISBN: 978-3-540-38122-8

  • eBook Packages: Springer Book Archive