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Pseudo real closed fields

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Set Theory and Model Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 872))

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References

  1. J. Ax: The elementary theory of finite fields. Ann. of Math. 88(1968), 239–271

    Article  MathSciNet  MATH  Google Scholar 

  2. S.A. Basarab: Definite functions on algebraic varieties over ordered fields. To appear in Revue Roumaine Math. pures et appliquées.

    Google Scholar 

  3. G. Cherlin: Model theoretic algebra; selected topics. Lecture Notes in Math. 521, Springer, 1976

    Google Scholar 

  4. C. Chang-H. Keisler: Model theory. North-Holland, Amsterdam, 1973

    MATH  Google Scholar 

  5. L. van den Dries: Model theory of fields. Thesis, Utrecht, 1978

    Google Scholar 

  6. G. Frey: Pseudo algebraically closed fields with non-archimedean real valuations. J. Alg. 26(1973), 202–207

    Article  MathSciNet  MATH  Google Scholar 

  7. N. Jacobson: Lectures in abstract algebra III. van Nostrand, New Haven, 1964

    Book  MATH  Google Scholar 

  8. M. Jarden: Elementary statements over large algebraic fields. Trans. Amer. Math. Soc. 164(1972), 67–91

    Article  MathSciNet  MATH  Google Scholar 

  9. I. Kaplansky: Polynomials in topological fields. Bull. Amer. Math. Soc. 54(1948), 909–916

    Article  MathSciNet  MATH  Google Scholar 

  10. C. Kiefe: Sets definable over finite fields: their zetafunctions. Trans.Amer.Math.Soc. 223(1976), 45–59

    Article  MathSciNet  MATH  Google Scholar 

  11. S. Lang: Introduction to algebraic geometry. Interscience, New York, 1958

    MATH  Google Scholar 

  12. J. Milnor-D. Husemoller: Symmetric bilinear forms. Springer, Berlin-Heidelberg-New York, 1973

    Book  MATH  Google Scholar 

  13. A. Prestel: Lectures on formally real fields. Monografias de Matemática 22, IMPA, Rio de Janeiro, 1975

    MATH  Google Scholar 

  14. A. Prestel-M. Ziegler: Model theoretic methods in the theory of topological fields. J. reine angew. Math. 299/300 (1978), 318–341

    MathSciNet  MATH  Google Scholar 

  15. P. Roquette: Nonstandard aspects of Hilbert’s irreducibility theorem, in: Model theory and algebra, 231–275, Lecture Notes in Math. 498, Springer, 1975

    Google Scholar 

  16. W. Schmidt: Equations over finite fields. An elementary approach. Lecture Notes in Math. 536, Springer, 1976

    Google Scholar 

  17. A. Weil: Adeles and algebraic groups. Institute for advanced studies, Princeton, 1961

    MATH  Google Scholar 

  18. W. Wheeler: Model-complete theories of pseudo-algebraically closed fields. Ann. Math. Logic 17(1979), 205–226

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Fakultät für Mathematik, Universität Konstanz, D-7750, Konstanz

    Alexander Prestel

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  1. Alexander Prestel
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Ronald Björn Jensen Alexander Prestel

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© 1981 Springer-Verlag

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Prestel, A. (1981). Pseudo real closed fields. In: Jensen, R.B., Prestel, A. (eds) Set Theory and Model Theory. Lecture Notes in Mathematics, vol 872. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0098621

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  • DOI: https://doi.org/10.1007/BFb0098621

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10849-8

  • Online ISBN: 978-3-540-38757-2

  • eBook Packages: Springer Book Archive

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