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Existence of rigid-like families of Abelian p-groups

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Part of the Lecture Notes in Mathematics book series (LNM,volume 498)

Abstract

We prove that for arbitrarily large λ, there are large families of abelian groups, with only the necessary homomorphisms between them.

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References

  • [ER] P. Erdös and R. Rado, Intersection theorems for systems of sets, J. London Math. Soc. 44 (1969), 467–479.

    CrossRef  MathSciNet  MATH  Google Scholar 

  • [Fo] G. Fodor, Eine Bemerkung zur Theorie der regressiven Funktionen, Acta. Sci. Math. 17 (1956), 139–142.

    MathSciNet  MATH  Google Scholar 

  • [Fu.1] L. Fuchs, Infinite abelian groups, Vol. I, Academic Press, N. Y. & London 1970.

    MATH  Google Scholar 

  • [Fu. 2] L. Fuchs, Infinite abelian groups, Vol. II, Academic Press, N. Y. & London, 1973.

    MATH  Google Scholar 

  • [Fu.3] L. Fuchs, Abelian groups, Publishing house of the Hungarian Academy of Sciences, Budepest, 1958.

    MATH  Google Scholar 

  • [Fu.4] L. Fuchs, Indecomposable abelian groups of measurable cardinals, dedicated to R. Baer, to appear.

    Google Scholar 

  • [P] R. S. Pierce, Homomorphism of primary abelian groups, topics in abelian groups, (Chicago, Illinois 1963), 215–310.

    Google Scholar 

  • [Sh] S. Shelah, Infinite abelian groups, Whitehead problem and some contradiction, Israel Journal of Mathematics, 1974 to appear.

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Dedicated to the memory of A. Robinson

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© 1975 Springer-Verlag

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Shelah, S. (1975). Existence of rigid-like families of Abelian p-groups. In: Saracino, D.H., Weispfenning, V.B. (eds) Model Theory and Algebra. Lecture Notes in Mathematics, vol 498. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0080986

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  • DOI: https://doi.org/10.1007/BFb0080986

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07538-7

  • Online ISBN: 978-3-540-38057-3

  • eBook Packages: Springer Book Archive