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ArticleOriginal scientific text

Title

A new proof of a theorem of Balcerzyk, Białynicki-Birula and Łoś

Authors ¹

Affiliations

Mathematics Department, University of Detroit Mercy, Detroit, Michigan 48219, U.S.A.

Keywords

measurable cardinal number, abelian group, torsion-free, direct product, slender group

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L. Fuchs, Infinite Abelian Groups, Vol. II, Academic Press, New York, 1973.
R. J. Nunke, On direct products of infinite cyclic groups, Proc. Amer. Math. Soc. 13 (1962), 66-71.
J. D. O'Neill, A theorem on direct products of slender modules, Rend. Sem. Mat. Univ. Padova 78 (1987), 261-266.
J. D. O'Neill, Direct summands of $ℤ^{κ}$ for large κ, in: Abelian Groups and Related Topics, R. Göbel, P. Hill and W. Liebert (eds.), Contemp. Math. 171, Amer. Math. Soc., 1994, 313-323.