Skip to main content
SpringerLink
Log in

Sous-groupes additifs de rangs dénombrables dans un corps séparablement clos

  • Original Article
  • Published:
Archive for Mathematical Logic Aims and scope Submit manuscript

Résumé

Pour tout entier n, on construit des sous-groupes, infiniment définissables de rang de Lascar ω n, du groupe additif d’un corps séparablement clos.

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

References

  1. Blossier T.: Subgroups of the additive group of a separably closed field. A.P.A.L. (134) 169–216 (2005)

    Google Scholar 

  2. Blossier T., Krupiński K.: A special thin type. Ill. J. Math. 49(1), 281–290 (2005)

    MATH  Google Scholar 

  3. Bouscaren E., Delon F.: Minimal groups in separably closed fields. J. Symb. Logic 67(1), 239–259 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  4. Chatzidakis, Z., Cherlin, G., Shelah, S., Srour, G., Wood, C.: Orthogonality of types in separably closed fields. In: Classification Theory, Proceedings of the 1985 Chicago Conference, Lecture Notes in Mathematics, Vol. 1292, Springer (1987)

  5. Chatzidakis Z., Wood C.: Minimal types in separably closed fields. J. Symb. Logic 65(3), 1443–1450 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  6. Delon, F.: Idéaux et types sur les corps séparablement clos, Supp. au Bull. de la S.M.F., Mémoire 33, Tome 116 (1988)

  7. Delon F.: Separably closed fields. In: Bouscaren, E. (eds) Model Theory and Algebraic Geometry, pp. 143–176. Springer, Berlin (1998)

    Chapter  Google Scholar 

  8. Ershov, Y.: Fields with a solvable theory, Doklady, 174, 19–20 (1967); English translation in Soviet Mathematics 8, 575–576 (1967)

  9. Ghioca, D.: The Mordell-Lang theorem for Drinfeld modules. Int. Math. Res. Not. (53) 3273–3307 (2005)

    Google Scholar 

  10. Hrushovski E: The Mordell-Lang conjecture for function fields. J. Am. Math. Soc. 9(3), 667–690 (1996)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Université de Lyon, Université Lyon 1, Institut Camille Jordan UMR 5208 CNRS, 43 boulevard du, 69622, Villeurbanne Cedex, France

    Thomas Blossier

Authors
  1. Thomas Blossier
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Thomas Blossier.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Blossier, T. Sous-groupes additifs de rangs dénombrables dans un corps séparablement clos. Arch. Math. Logic 50, 459–476 (2011). https://doi.org/10.1007/s00153-010-0226-3

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00153-010-0226-3

Keywords

Mathematics Subject Classification (2000)

Search

Navigation