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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[ER] P. Erdös and R. Rado, Intersection theorems for systems of sets, J. London Math. Soc. 44 (1969), 467–479.
[Fo] G. Fodor, Eine Bemerkung zur Theorie der regressiven Funktionen, Acta. Sci. Math. 17 (1956), 139–142.
[Fu.1] L. Fuchs, Infinite abelian groups, Vol. I, Academic Press, N. Y. & London 1970.
[Fu. 2] L. Fuchs, Infinite abelian groups, Vol. II, Academic Press, N. Y. & London, 1973.
[Fu.3] L. Fuchs, Abelian groups, Publishing house of the Hungarian Academy of Sciences, Budepest, 1958.
[Fu.4] L. Fuchs, Indecomposable abelian groups of measurable cardinals, dedicated to R. Baer, to appear.
[P] R. S. Pierce, Homomorphism of primary abelian groups, topics in abelian groups, (Chicago, Illinois 1963), 215–310.
[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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