Skip to main content
SpringerLink
Log in

On the model companion fore-foldp-adically valued fields

  • Published:
manuscripta mathematica Aims and scope Submit manuscript

Abstract

We describe a model companion for the first-order theory ofe-foldp-adically valued fields. We obtain several characterizations of this model companion by means of geometro-algebraic, Galois-theoretic and measure-theoretic properties.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. van den Dries, L.P.D.: Model theory of fields. Thesis, Utrecht: 1978

  2. Efrat, I.: The elementary theory of free pseudop-adically closed fields of finite corank. J. Symb. Logic (to appear)

  3. Efrat, I.: Absolute Galois groups ofp-adically maximal PpC fields. Forum Math. (to appear)

  4. Efrat, I., Jarden, M.: Free pseudop-adically closed fields of finite corank. J. Algebra133, 132–150 (1990)

    Article  MATH  MathSciNet  Google Scholar 

  5. Fried, M., Jarden, M.: Field Arithmetic. (Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge, Bd 11). Heidelberg: Springer 1986

    MATH  Google Scholar 

  6. Grob, C.: Die Entscheidbarkeit der Theorie der maximalen pseudop-adisch abgeschlossenen Körper. Dissertation, Konstanz: 1987

  7. Haran, D., Jarden, M.: The absolute Galois group of a pseudop-adically closed field, J. reine angew. Math.383, 147–206 (1988)

    MATH  MathSciNet  Google Scholar 

  8. Heinemann, B., Prestel, A.: Fields regularly closed with respect to finitely many valuations and orderings. CMS Conf. Proc.4, 297–336 (1984)

    MathSciNet  Google Scholar 

  9. Jarden, M.: On the model companion of the theory ofe-fold ordered fields. Acta Math.150, 243–253 (1983)

    Article  MATH  MathSciNet  Google Scholar 

  10. Jarden, M.: Algebraic realization ofp-adically projective groups. Compos. Math. (to appear)

  11. Prestel, A., Roquette, R.: Formallyp-adic Fields. Lect. Notes Math. 1050. Berlin: Springer 1984

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mathematisches Institut, Universität Heidelberg, Im Neuenheimer Feld 288, D-6900, Heidelberg, Federal Republic of Germany

    Ido Efrat

Authors
  1. Ido Efrat
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

This note corresponds to a chapter in the author's Ph.D. thesis, carried out in Tel-Aviv University under the supervision of Prof. Moshe Jarden. The work was partially supported by a grant from the G.I.F., the German-Israeli foundation for scientific research and development.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Efrat, I. On the model companion fore-foldp-adically valued fields. Manuscripta Math 73, 359–371 (1991). https://doi.org/10.1007/BF02567647

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02567647

Keywords

Search

Navigation