J Austral Math Soc Ser A 54 pp143--155, 1993.

Regulating Hulls of Almost Completely Decomposable Groups

A. Mader and C. Vinsonhaler

Abstract

This note investigates torsion-free abelian groups G of finite rank which embed, as subgroups of finite index, in a finite direct sum C of subgroups of the additive group of rational numbers. Specifically, we examine the relationship between G and C when the index of G in C is minimal. Some properties of Warfield duality are developed and used (in the case that G is locally free) to relate our results to earlier ones by Burkhardt and Lady.

1991 AMS Subject Classification: 20K15

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Authors

A. Mader

University of Hawaii, Honolulu, HI 96822, USA.

C. Vinsonhaler

University of Connecticut, Storrs, CT 06269, USA.