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The number of κ — Free abelian groups and the size of Ext

Part of the Lecture Notes in Mathematics book series (LNM,volume 616)

Keywords

  • Commutative Ring
  • Projective Module
  • Free Abelian Group
  • Regular Cardinal
  • Measurable Cardinal

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References

  1. J.E. Baumgartner and K. Prikry, Singular cardinals and the generalized continuum hypothesis, Amer. Math. Monthly 84(1977) 108–113.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. P.C. Eklof, Infinitary equivalence of abelian groups, Fund. Math. LXXXI (1974) 305–314.

    MathSciNet  MATH  Google Scholar 

  3. _____, On the existence of κ — free abelian groups, Proc. Amer. Math Soc. 47 (1975) 65–72.

    MathSciNet  MATH  Google Scholar 

  4. _____, Independence results in Algebra (Mimeo).

    Google Scholar 

  5. _____, and Alan Mekler, Some Independence results in group theory. Notices Amer. Math. Soc. 23 (1976) A-273 Abstract #76T-A66.

    Google Scholar 

  6. D. Kan and G. Whitehead, On the realizability of singular cohomology groups, Proc. Amer. Math. Soc., V.12 (1961) 24–25.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. Howard L. Hiller, A conjecture on cohomology in L, (preprint).

    Google Scholar 

  8. S. Shelah, Infinite abelian groups, Whitehead problem and some constructions, Israel J. Math. 18 (1974), 243–256.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. _____, A compactness theorem for singular cardinals, free algebras, Whitehead problem and transversals, Israel J. Math 21 (1975) 319–349.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. R.M. Solovay, Real-valued measurable cardinals, Proceedings of Symposia in Pure Mathematics, XIII, Part I, A.M.S. Providence, R.I., 1971.

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© 1977 Springer-Verlag

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Mekler, A. (1977). The number of κ — Free abelian groups and the size of Ext. In: Arnold, D.M., Hunter, R.H., Walker, E.A. (eds) Abelian Group Theory. Lecture Notes in Mathematics, vol 616. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0068203

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  • DOI: https://doi.org/10.1007/BFb0068203

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08447-1

  • Online ISBN: 978-3-540-37069-7

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