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Les corps faiblement algebriquement clos non separablement clos ont la propriete d ’independance

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Model Theory of Algebra and Arithmetic

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Bibliographie

  1. James AX: "The elementary theory of finite fields" (Ann. of Math. 88 (1968), pp.239–271).

    Article  MathSciNet  MATH  Google Scholar 

  2. James AX: "On the undecidability of power series fields" (Proc. Am. Math. Soc. 162 (1965), p. 846).

    MathSciNet  MATH  Google Scholar 

  3. Nicolas BOURBAKI: "Algèbre. Chapitre 5. Corps commutatifs". (Hermann).

    Google Scholar 

  4. Françoise DELON: "Types sur les corps valués henséliens" (à paraître).

    Google Scholar 

  5. Jean-Louis DURET: "Instabilité des corps formellement réels" Canad. Math. Bull. Vol. 20 (3), 1977).

    Google Scholar 

  6. Ju L. ERSOV: "Undecidability of certain fields" (Doklady 1965. Tom 161, No1, pp.349–352).

    Google Scholar 

  7. Ulrich FELGNER: "ℵ1-kategorische Theorien nicht-kommutativer Ringe" (Fundamenta Mathematicae LXXXII (1975), pp. 331–346).

    MathSciNet  MATH  Google Scholar 

  8. Nathan JACOBSON: "Lectures in abstract algebra. Volume III. Theory of fields and Galois Theory" (D. Van Nostrand company).

    Google Scholar 

  9. Moshe JARDEN: "Elementary statements over large algebraic fields" (Trans. Am. Math. Soc. Vol. 164, february 1972, pp. 67–91).

    Article  MathSciNet  MATH  Google Scholar 

  10. Serge LANG: "Introduction to algebraic geometry" (Addison-Wesley publishing company)

    Google Scholar 

  11. Angus MACINTYRE: "On ω1-catagorical theories of fields" (Fundamenta Mathematicae LXXI (1971) p. 1–25).

    Google Scholar 

  12. Yu. G. PENZIN: "The undecidibality of fields of rational functions over fields of characteristic 2" (Algebra i Logica, vol. 12, No2, pp.205–210 March–April 1973. Traduit (en anglais) dans Algebra and Logic).

    MathSciNet  Google Scholar 

  13. Julia ROBINSON: "Definibality and decision problems in arithmetic" (J.S.L. 14 (1949) pp. 98–114).

    MATH  Google Scholar 

  14. Raphael ROBINSON: "The undecidability of pure transcendental extension of real fields" (Zeischr. f. Math. Logik und Grundlagen d. Math. Bd. 10, S. 275–282 (1964)).

    Article  MATH  Google Scholar 

  15. Saharon SHELAH: "The lazy model-theorician’s guide to stability" (Logique et analyse, septembre-décembre 1975, pp. 241–308)

    Google Scholar 

  16. L. VAN DEN DRIES: "Model theory of fields. Decidibality, and bounds for polynomial ideals" (Thèse Université d’Utrecht).

    Google Scholar 

  17. André WEIL: "Adèles and algebraic group".

    Google Scholar 

  18. William WHEELER: "Model-complete theories of pseudo-algebraically closed fields" (a paraître).

    Google Scholar 

  19. Carol WOOD: "Notes on the stability of separably closed fields" (J.S.L. Vol. 44, Nb. 3, Sept. 1979, pp.412–416).

    MathSciNet  MATH  Google Scholar 

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Authors

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Leszek Pacholski Jedrzej Wierzejewski Alec J. Wilkie

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© 1980 Springer-Verlag

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Duret, JL. (1980). Les corps faiblement algebriquement clos non separablement clos ont la propriete d ’independance. In: Pacholski, L., Wierzejewski, J., Wilkie, A.J. (eds) Model Theory of Algebra and Arithmetic. Lecture Notes in Mathematics, vol 834. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090164

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  • DOI: https://doi.org/10.1007/BFb0090164

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  • Print ISBN: 978-3-540-10269-4

  • Online ISBN: 978-3-540-38393-2

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