A class of torsion-free abelian groups characterized by the ranks of their socles
Ulrich F. Albrecht; Anthony Giovannitti; H. Pat Goeters
Czechoslovak Mathematical Journal (2002)
- Volume: 52, Issue: 2, page 319-327
- ISSN: 0011-4642
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topAlbrecht, Ulrich F., Giovannitti, Anthony, and Goeters, H. Pat. "A class of torsion-free abelian groups characterized by the ranks of their socles." Czechoslovak Mathematical Journal 52.2 (2002): 319-327. <http://eudml.org/doc/30701>.
@article{Albrecht2002,
abstract = {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.},
author = {Albrecht, Ulrich F., Giovannitti, Anthony, Goeters, H. Pat},
journal = {Czechoslovak Mathematical Journal},
keywords = {Dedekind domain; bracket modules; integral domains},
language = {eng},
number = {2},
pages = {319-327},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A class of torsion-free abelian groups characterized by the ranks of their socles},
url = {http://eudml.org/doc/30701},
volume = {52},
year = {2002},
}
TY - JOUR
AU - Albrecht, Ulrich F.
AU - Giovannitti, Anthony
AU - Goeters, H. Pat
TI - A class of torsion-free abelian groups characterized by the ranks of their socles
JO - Czechoslovak Mathematical Journal
PY - 2002
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 52
IS - 2
SP - 319
EP - 327
AB - 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.
LA - eng
KW - Dedekind domain; bracket modules; integral domains
UR - http://eudml.org/doc/30701
ER -
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