| Title:
|
A class of torsion-free abelian groups characterized by the ranks of their socles (English) |
| Author:
|
Albrecht, Ulrich |
| Author:
|
Giovannitti, Tony |
| Author:
|
Goeters, Pat |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
52 |
| Issue:
|
2 |
| Year:
|
2002 |
| Pages:
|
319-327 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| 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. (English) |
| Keyword:
|
Dedekind domain |
| MSC:
|
13A15 |
| MSC:
|
13B22 |
| MSC:
|
13C13 |
| MSC:
|
13F05 |
| MSC:
|
13G05 |
| MSC:
|
20K15 |
| idZBL:
|
Zbl 1013.13007 |
| idMR:
|
MR1905438 |
| . |
| Date available:
|
2009-09-24T10:51:12Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127719 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
|
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| . |
