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The algebraic nature of the elementary theory of PRC fields

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References

  1. G. Cherlin, L. v.d. Dries, and A. Macintyre,The elementary theory of regularly closed fields, a manuscript

  2. J.W.S. Cassels and A. Fröhlich, Algebraic Number Theory, Academic Press, London, 1967

    Google Scholar 

  3. L. v.d. Dries,Model theory of fields, Dissertation, Utrecht, 1978

    Google Scholar 

  4. Ju.L. Ershov,Two theorems on regularly r-closed fields, Journal für die reine und angewandte Mathematik 347 (1987), 154–167

    Google Scholar 

  5. M. Fried and M. Jarden,Field Arithmetic, Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge11, Springer, Heidelberg, 1986

    Google Scholar 

  6. D. Haran,On closed subgroups of free products of profinite groups, Proceedings of the London Mathematical Society55 (1987), 266–289

    Google Scholar 

  7. D. Haran,closed subgroups ofG(Q) with involutions, preprint

  8. B. Heinemann,On finite intersections of “Henselian valued” fields, manuscripta mathematica52 (1985), 37–61

    Article  Google Scholar 

  9. D. Haran and M. Jarden,The absolute Galois group of a pseudo real closed field, Annali Scuola Normale Superiore — Pisa, Serie IV,XII (1985), 449–489

    Google Scholar 

  10. D. Haran and M. Jarden, Real free groups and the absolute Galois group of ℝ(t), Journal of Pure and Applied Algebra37, 155–165

  11. D. Haran and M. Jarden,The absolute Galois group of a pseudo real closed algebraic field, Pacific Journal of Mathematics123 (1986), 55–69

    Google Scholar 

  12. D. Haran and M. Jarden,The absolute Galois group of a pseudo padically closed field, Journal für die reine und angewandte Mathematik

  13. M. Jarden,The elementary theory of large e-fold ordered fields, Acta mathematica149 (1982), 239–259

    Google Scholar 

  14. M. Jarden,On the model companion of the theory of e-fold ordered fields, Acta mathematica150 (1983), 243–253

    Google Scholar 

  15. T.Y. Lam,The algebraic theory of quadratic forms, Mathematics Lecture Note Series, Benjamin, Reading, 1973

    Google Scholar 

  16. S. Lang,Algebra, Addison-Wesley, Reading, 1967

    Google Scholar 

  17. W.J. LeVeque,Topic in Number Theory I, Addison-Wesely, Reading, 1958

    Google Scholar 

  18. A. Prestel,Pseudo real closed fields, Set Theory and Model Theory, Lecture Notes872, Springer, 1982

  19. A. Prestel,Decidable theories of preordered fields, Mathematische Annalen258 (1982), 481–492

    Google Scholar 

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  1. School of Mathematical Sciences Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, 69978, Ramat Aviv, Tel Aviv, Israel

    Moshe Jarden

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  1. Moshe Jarden
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Jarden, M. The algebraic nature of the elementary theory of PRC fields. Manuscripta Math 60, 463–475 (1988). https://doi.org/10.1007/BF01258664

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