# 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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