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

• Autorzy: John D. O'Neill
• Języki publikacji: EN

Słowa kluczowe

EN

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

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1996
• Tom: 70
• Numer: 2
• Strony: 191-194

Daty

wydano

1996

otrzymano

1994-08-22

poprawiono

1995-05-25

Twórcy

autor

John D. O'Neill

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

Bibliografia

• [1] S. Balcerzyk, A. Białynicki-Birula and J. Łoś, On direct decompositions of complete direct sums of groups of rank $1$, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 9 (1961), 451-454.
• [2] L. Fuchs, Infinite Abelian Groups, Vol. II, Academic Press, New York, 1973.
• [3] R. J. Nunke, On direct products of infinite cyclic groups, Proc. Amer. Math. Soc. 13 (1962), 66-71.
• [4] J. D. O'Neill, A theorem on direct products of slender modules, Rend. Sem. Mat. Univ. Padova 78 (1987), 261-266.
• [5] 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.