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Dectdable theories of pseudo-Algebraically closed fields

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1103)

Keywords

  • Galois Group
  • Homomorphic Image
  • Algebraic Closure
  • Inverse Limit
  • Profinite Group

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References

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

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. M. Fried and G. Sacerodote: Solving diophantine problems over all residue class fields and all finite fields. Ann. Math 104 (1976), 203–233.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. M. Jarden: Elementary statements over large algebraic fields. T.A.M.S. 164 (1972), 67–91.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. M. Jarden: Algebraic extensions of hilbertian fields of finite corank. Israel J. Math 18 (1974), 279–307.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. M. Jarden, U. Kiehne: The elementary theory of algebraic fields of finite corank. Invent. Math 30 (1975), 275–294.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. M. Jarden: The elementary theory of ω-free Ax fields. Invent. Math 38 (1976), 187–206.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. T. Tamagawa, "On regular closed fields," pp. 325–334 in Algebraists' Homage ed. by S. Amitsur et al., AMS, Providence, 1982.

    Google Scholar 

  8. W. Gaschütz: Zu einem von B.H. und H. Neumann gestellten Problem. Math. Nachr. 14 (1956), 249–252.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. K. Gruenberg: Projective profinite groups. J. London Math Soc. 42 (1967), 155–165.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. D. Haran, A. Lubotzky: Embedding covers and the theory of Frobenius fields. Israel J. Math 41 (1982), 181–201.

    CrossRef  MathSciNet  MATH  Google Scholar 

  11. B. Banaschewski: Projective covers in categories of topological spaces and topological algebras, pp. 63–91 in Proceedings, Kanpur Topology Conferences, 1968, Academic Publishing, Prague, 1971.

    Google Scholar 

  12. G. Cherlin, L. van den Dries, A. Macintyre: The elementary theory of regularly closed fields. To appear in Crelle.

    Google Scholar 

  13. Yu Ershov: Regularly closed fields. Doklady 251 (1980), 783–785.

    MathSciNet  MATH  Google Scholar 

  14. Yu Ershov, "The undecidability of regularly closed fields (Russian)", Alg. i. Log. 20 (1981), 389–394.

    MathSciNet  Google Scholar 

  15. M. Fried and M. Jarden: Field Arithmetic. Springer-Verlag, to appear.

    Google Scholar 

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© 1984 Springer-Verlag

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Cherlin, G.L. (1984). Dectdable theories of pseudo-Algebraically closed fields. In: Müller, G.H., Richter, M.M. (eds) Models and Sets. Lecture Notes in Mathematics, vol 1103. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099382

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  • DOI: https://doi.org/10.1007/BFb0099382

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13900-3

  • Online ISBN: 978-3-540-39115-9

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