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Article

Albrecht, Ulrich ; Giovannitti, Tony ; Goeters, Pat
A class of torsion-free abelian groups characterized by the ranks of their socles. (English). Czechoslovak Mathematical Journal, vol. 52 (2002), issue 2, pp. 319-327
MSC: 13A15, 13B22, 13C13, 13F05, 13G05, 20K15 | MR 1905438 | Zbl 1013.13007
Keywords:
Dedekind domain
Summary:
Butler groups formed by factoring a completely decomposable group by a rank one group have been studied extensively. We call such groups, bracket groups. We study bracket modules over integral domains. In particular, we are interested in when any bracket $R$-module is $R$ tensor a bracket group.
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