Characterizations of Warfield Groups
Warfield groups are defined to be direct summands of simply presented abelian groups. By introducing a global definition of quasi-sequentially nice subgroups we prove some characterizations of Warfield groups involving these groups, knice subgroups, and valuated coproducts. Furthermore, we exhibit a...
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| Published in | Journal of algebra Vol. 204; no. 1; pp. 32 - 41 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Inc
01.06.1998
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| Online Access | Get full text |
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| Summary: | Warfield groups are defined to be direct summands of simply presented abelian groups. By introducing a global definition of quasi-sequentially nice subgroups we prove some characterizations of Warfield groups involving these groups, knice subgroups, and valuated coproducts. Furthermore, we exhibit a new proof of a characterization of Warfield groups in terms of nice subgroups and valuated coproducts. |
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| ISSN: | 0021-8693 1090-266X |
| DOI: | 10.1006/jabr.1997.7367 |