Skip to main content
SpringerLink
Log in

Amalgamation properties and finite models in Ln-theories

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

Abstract.

 Djordjević [Dj 1] proved that under natural technical assumptions, if a complete L n-theory is stable and has amalgamation over sets, then it has arbitrarily large finite models. We extend his study and prove the existence of arbitrarily large finite models for classes of models of L n-theories (maybe omitting types) under weaker amalgamation properties. In particular our analysis covers the case of vector spaces.

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

Author information

Authors and Affiliations

  1. Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago, 851 S. Morgan Street, M/C 249, Chicago, IL 60607-7045, USA. e-mail: jbaldwin@math.uic.edu; lessmann@uic.edu, , , , , , US

    John Baldwin & Olivier Lessmann

Authors
  1. John Baldwin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Olivier Lessmann
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received: 24 July 2000 / Published online: 20 December 2001

Rights and permissions

Reprints and permissions

About this article

Cite this article

Baldwin, J., Lessmann, O. Amalgamation properties and finite models in Ln-theories. Arch. Math. Logic 41, 155–167 (2002). https://doi.org/10.1007/s001530100106

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s001530100106

Keywords

Search

Navigation