Skip to main content
Log in

Minimal and prime models of complete theories of torsion free abelian groups

  • Published:
algebra universalis 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

  1. C. Chang, J. Keisler.Model Theory, North Holland Publishing Co., Amsterdam, 1973.

    MATH  Google Scholar 

  2. J. T. Baldwin, A. Blass, A. Glass, D. Kueker. “A natural theory without a prime model,” Alg. Univ. 3, 1973, pp. 152–155.

    Article  MATH  MathSciNet  Google Scholar 

  3. P. Eklof, E. Fisher, “The elementary theory of abelian groups,” Ann. Math. Logic 4, 1972.

  4. P. Eklof. “Some model theory of abelian groups,” Jour. Symb. Logic 37, 1972, pp. 335–342.

    Article  MATH  MathSciNet  Google Scholar 

  5. L. Fuchs.Infinite Abelian Groups I, Academic Press, New York, 1970.

    MATH  Google Scholar 

  6. L. Fuchs.Infinite Abelian Groups II, Academic Press, New York, 1973.

    MATH  Google Scholar 

  7. L. Marcus. “Minimal models of theories of one function symbol,” Isr. Jour. Math. 18, 1974, pp. 117–131.

    MATH  Google Scholar 

  8. L. Prochàzka. “A generalization of a theorem of R. Baer,” Comment. Math. Univ. Carolinae 4, 1963, pp. 105–108.

    MATH  MathSciNet  Google Scholar 

  9. W. Szmielew. “Elementary properties of abelian groups,” Fund. Math.41, 1955, pp. 203–271.

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

This paper was written while the author held a fellowship of the Max-Kade-Foundation at the University of California, Berkeley.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Deissler, R. Minimal and prime models of complete theories of torsion free abelian groups. Algebra Universalis 9, 250–265 (1979). https://doi.org/10.1007/BF02488037

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02488037

Keywords

Navigation