Sh:976

• Shelah, S., & Strüngmann, L. H. (2011). Kulikov’s problem on universal torsion-free abelian groups revisited. Bull. Lond. Math. Soc., 43(6), 1198–1204.
• Abstract:
Let T be a torsion abelian group. We consider the class of all torsion-free abelian groups G satisfying {\rm Ext}(G,T)=0 and search for \lambda-universal objects in this class. We show that for certain T there is no \omega-universal group. However, for uncountable cardinals \lambda there is always a \lambda-universal group if we assume (V=L). Together with results by the second author this solves completely a problem by Kulikov.
• Current version: 2010-10-22_11 (8p) published version (7p)
Bib entry
@article{Sh:976,
author = {Shelah, Saharon and Str{\"u}ngmann, Lutz H.},
title = {{Kulikov's problem on universal torsion-free abelian groups revisited}},
journal = {Bull. Lond. Math. Soc.},
fjournal = {Bulletin of the London Mathematical Society},
volume = {43},
number = {6},
year = {2011},
pages = {1198--1204},
issn = {0024-6093},
mrnumber = {2861541},
mrclass = {20K15 (20K20 20K35)},
doi = {10.1112/blms/bdr055}
}