Characterizations of Warfield Groups

Document Type

Peer-Reviewed Article

Publication Date

6-1-1998

Abstract

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.

Comments

At the time this article was written Peter Loth was affiliated with Case Western University.

DOI

10.1006/jabr.1997.7367

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