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The complexity of types in field theory

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Logic Year 1979–80

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 859))

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References

  1. J. Ax, The elementary theory of finite fields, Ann. of Math. (2) 88 (1968), 239–271.

    Article  MathSciNet  MATH  Google Scholar 

  2. W. Craig, On axiomatizability within a system, J. S. L. 18 (1953), 30–32.

    MathSciNet  MATH  Google Scholar 

  3. J. L. Duret, Les corps pseudofinis ont la propriété d' indépendance. C. R. Acad. Sci. Paris 290 (1980), 981–3.

    MathSciNet  MATH  Google Scholar 

  4. _____, Instabilite' des corps formellement reéls, Canad. Math. Bull 20 (3), 1977.

    Google Scholar 

  5. W-D Geyer, Unendliche algebraische Zahlkörper, über denen jede Gleichung auflősbar von beschränkter stufe ist, Journal of Number Theory 1 (1970), 346–374.

    Article  MathSciNet  MATH  Google Scholar 

  6. M. Jarden and U. Kiehne, The elementary theory of algebraic fields of finite corank, Inventiones Math. 30 (1975), 275–294.

    Article  MathSciNet  MATH  Google Scholar 

  7. I. Kaplansky, Maximal fields with valuation, Duke Math. Journal, 9 (1942), 303–321.

    Article  MathSciNet  MATH  Google Scholar 

  8. A. Macintyre, Residue fields of models of IP, to appear in Proceedings of 1979 Hannover I. C. L. H. P. S. meeting.

    Google Scholar 

  9. A. Macintyre, On ε1-categorical theories of fields, Fund. Math. LXXI (1971), 1–25.

    MathSciNet  MATH  Google Scholar 

  10. K. Milliken, Hindman's theorem and groups, Journal of Combinatorial Theory A 25 (1978), 175–180.

    Article  MathSciNet  Google Scholar 

  11. J. Robinson, Definability and decision problems in arithmetic, J. S. L. 14 (1949), 98–114.

    MathSciNet  MATH  Google Scholar 

  12. P. Ribenboim, L' Arithmetique des Corps, Herman, Paris, 1972.

    MATH  Google Scholar 

  13. S. Tennenbaum, unpublished, c. 1958.

    Google Scholar 

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Authors
  1. Angus Macintyre
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Manuel Lerman James H. Schmerl Robert I. Soare

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© 1981 Springer-Verlag

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Macintyre, A. (1981). The complexity of types in field theory. In: Lerman, M., Schmerl, J.H., Soare, R.I. (eds) Logic Year 1979–80. Lecture Notes in Mathematics, vol 859. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090946

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  • DOI: https://doi.org/10.1007/BFb0090946

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10708-8

  • Online ISBN: 978-3-540-38673-5

  • eBook Packages: Springer Book Archive

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