Categories of local functors

  • Paul C. Eklof
Contributed Papers
First Online:
Part of the Lecture Notes in Mathematics book series (LNM, volume 498)

Keywords

Abelian Group Structure Theory Direct Limit Full Subcategory Local Functor 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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References

  1. [B] M. Benda, Reduced products and non-standard logics, J. Symbolic Logic 34 (1969), pp. 424–436.MathSciNetCrossRefMATHGoogle Scholar
  2. [C-K] C.C. Chang and H.J. Keisler, Model Theory, North-Holland, Amsterdam, 1973.MATHGoogle Scholar
  3. [Co] P. Cohn, Universal Algebra, Harper and Row, London, 1965.MATHGoogle Scholar
  4. [E] P. Eklof, On the existence of κ-free abelian groups, Proceedings of the Amer. Math. Soc. 47 (1975), pp. 65–72.MathSciNetMATHGoogle Scholar
  5. [Fe] S. Feferman, Infinitary properties, local functors, and systems of ordinal functions, Conference in Mathematical Logic (London, 1970), Lecture notes in Math., no. 255, Springer-Verlag, Berlin, 1972, pp. 63–97.MATHGoogle Scholar
  6. [Fu 1] L. Fuchs, Infinite Abelian Groups, Vol I, Academic Press, New York, 1970.MATHGoogle Scholar
  7. [Fu 2] L. Fuchs, Infinite Abelian Groups, vol II, Academic Press, New York, 1973.MATHGoogle Scholar
  8. [Ma 1] A Mal'cev, The Metamathematics of Algebraic Systems, North-Holland, 1971.Google Scholar
  9. [Ma 2] A. Mal'cev, Algebraic Systems, Springer-Verlag, Berlin 1973.CrossRefGoogle Scholar
  10. [Mac] S. MacLane, Categories for the Working Mathematician, Springer-Verlag, Berlin, 1972.MATHGoogle Scholar
  11. [Me] A. Mekler, Ph. D dissertation, Stanford University, in preparation.Google Scholar
  12. [Mi] B. Mitchell, Theory of Categories, Academic Press, New York, 1965.MATHGoogle Scholar
  13. [S] S. Shelah, Infinite abelian groups-Whitehead problem and some constructions, Is. J. Math. 18 (1974), 243–256.MathSciNetCrossRefMATHGoogle Scholar
  14. [W] R. Warfield, Simply-presented groups, preprint, 1974.Google Scholar

Copyright information

© Springer-Verlag 1975

Authors and Affiliations

  • Paul C. Eklof
    • 1
  1. 1.University of CaliforniaIrvine

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