Skip to main content
Log in

On locally modular, weakly minimal theories

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

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

Access this article

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

Instant access to the full article PDF.

References

  • [B] Baldwin, J.: Fundamentals of Stability Theory. Berlin Heidelberg New York: Springer 1988

    Google Scholar 

  • [Bo] Bouscaren, E.: Dimensional order property and pairs of models. APAL41, 205–231 (1989)

    Google Scholar 

  • [BP] Bouscaren, E., Poizat, B.: Des belles paires et beaux uples. J. Symb. Logic53, 434–442 (1988)

    Google Scholar 

  • [Bu] Buechler, S.: Locally modular theories of finite rank. APAL30, 83–94 (1986)

    Google Scholar 

  • [Co] Cohn, P.: Skew fields of fractions and the prime spectrum of a general ring. In: Dold, A., Eckmann, B. (eds.) Lectures on Rings and Modules. (Lect. Notes Math., vol. 246, pp. 1–71) Berlin Heidelberg New York: Springer 1972

    Google Scholar 

  • [EPP] Evans, D., Pillay, A., Poizat, B.: Gruppa v. Gruppe. Algebra Logic29, 244–252 (1990)

    Google Scholar 

  • [H] Hrushovski, E.: Locally modular regular types. In: Baldwin, J. (ed.) Classification Theory: Chicago 1985. Berlin Heidelberg New York: Springer pp. 132–164, 1987

    Google Scholar 

  • [HL] Hrushovski, E., Loveys, J.: Weakly minimal groups of bounded exponent (in preparation)

  • [HP] Hrushovski, E., Pillay, A.: Weakly normal groups. Proceedings of Logic Colloquium Paris 1985. North-Holland: Amsterdam 1986

    Google Scholar 

  • [La] Laskowski, M.: Uncountable theories that are categorical in a higher power. J. Symb. Logic53, 512–530 (1988)

    Google Scholar 

  • [L1] Loveys, J.: Locally finite weakly minimal theories. APAL55, 153–203 (1991)

    Google Scholar 

  • [L2] Loveys, J.: Weakly minimal groups of unbounded exponent. J. Symb. Logic55, 928–937 (1990)

    Google Scholar 

  • [M] Makkai, M.: A survey of basic stability theory with emphasis on orthogonality and regular types. Israel J. Math.49, 181–238 (1985)

    Google Scholar 

  • [P] Pillay, A.: Book on geometrical stability theory (in preparation) (reference to privately circulated notes)

  • [Po 1] Poizat, B.: Paires de structures stables. J. Symb. Logic48, 239–249 (1983)

    Google Scholar 

  • [Po 2] Poizat, B.: Groupes stables. Nur al-Mantiq wal-Ma'rifah. Villeurbanne 1987

  • [Sh] Shelah, S.: Classification Theory and the Number of Non-isomorphic Models. North-Holland: Amsterdam 1978

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

This article was begun while the author was visiting the University of California at Berkeley, and completed upon the author's return to McGill University. The research was supported by the Natural Sciences and Engineering Research Council of Canada, et aussi Fonds pour la Formation de Chercheurs et l'Aide à la Recherche du Québec. The author would like to thank all at Berkeley, M.S.R.I. and McGill. Thanks always to Alistair

Rights and permissions

Reprints and permissions

About this article

Cite this article

Loveys, J. On locally modular, weakly minimal theories. Arch Math Logic 32, 173–194 (1993). https://doi.org/10.1007/BF01375550

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01375550

Keywords

Navigation