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

John O'Neill

Colloquium Mathematicae (1996)

  • Volume: 70, Issue: 2, page 191-194
  • ISSN: 0010-1354

How to cite

top

O'Neill, John. "A new proof of a theorem of Balcerzyk, Białynicki-Birula and Łoś." Colloquium Mathematicae 70.2 (1996): 191-194. <http://eudml.org/doc/210405>.

@article{ONeill1996,
author = {O'Neill, John},
journal = {Colloquium Mathematicae},
keywords = {measurable cardinal number; abelian group; torsion-free; direct product; slender group; slender groups; measurable cardinals; direct summands; direct products},
language = {eng},
number = {2},
pages = {191-194},
title = {A new proof of a theorem of Balcerzyk, Białynicki-Birula and Łoś},
url = {http://eudml.org/doc/210405},
volume = {70},
year = {1996},
}

TY - JOUR
AU - O'Neill, John
TI - A new proof of a theorem of Balcerzyk, Białynicki-Birula and Łoś
JO - Colloquium Mathematicae
PY - 1996
VL - 70
IS - 2
SP - 191
EP - 194
LA - eng
KW - measurable cardinal number; abelian group; torsion-free; direct product; slender group; slender groups; measurable cardinals; direct summands; direct products
UR - http://eudml.org/doc/210405
ER -

References

top
  1. [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. Zbl0112.02202
  2. [2] L. Fuchs, Infinite Abelian Groups, Vol. II, Academic Press, New York, 1973. Zbl0257.20035
  3. [3] R. J. Nunke, On direct products of infinite cyclic groups, Proc. Amer. Math. Soc. 13 (1962), 66-71. Zbl0103.01605
  4. [4] J. D. O'Neill, A theorem on direct products of slender modules, Rend. Sem. Mat. Univ. Padova 78 (1987), 261-266. Zbl0641.16029
  5. [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. 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.