A class of torsion-free abelian groups characterized by the ranks of their socles
Czechoslovak Mathematical Journal, Tome 52 (2002) no. 2, pp. 319-327
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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.
@article{CMJ_2002__52_2_a6,
author = {Albrecht, Ulrich and Giovannitti, Tony and Goeters, Pat},
title = {A class of torsion-free abelian groups characterized by the ranks of their socles},
journal = {Czechoslovak Mathematical Journal},
pages = {319--327},
publisher = {mathdoc},
volume = {52},
number = {2},
year = {2002},
mrnumber = {1905438},
zbl = {1013.13007},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2002__52_2_a6/}
}
TY - JOUR AU - Albrecht, Ulrich AU - Giovannitti, Tony AU - Goeters, Pat TI - A class of torsion-free abelian groups characterized by the ranks of their socles JO - Czechoslovak Mathematical Journal PY - 2002 SP - 319 EP - 327 VL - 52 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMJ_2002__52_2_a6/ LA - en ID - CMJ_2002__52_2_a6 ER -
%0 Journal Article %A Albrecht, Ulrich %A Giovannitti, Tony %A Goeters, Pat %T A class of torsion-free abelian groups characterized by the ranks of their socles %J Czechoslovak Mathematical Journal %D 2002 %P 319-327 %V 52 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/CMJ_2002__52_2_a6/ %G en %F CMJ_2002__52_2_a6
Albrecht, Ulrich; Giovannitti, Tony; Goeters, Pat. A class of torsion-free abelian groups characterized by the ranks of their socles. Czechoslovak Mathematical Journal, Tome 52 (2002) no. 2, pp. 319-327. http://geodesic.mathdoc.fr/item/CMJ_2002__52_2_a6/