Work

Regulating hulls of almost completely decomposable groups

Year: 1993

Type: article

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.

Source: Journal of the Australian Mathematical Society Series A Pure Mathematics and Statistics

DOI: 10.1017/s1446788700037071

Authors: A. Mader, C. Vinsonhaler

Institutions: University of Hawaiʻi at Mānoa, University of Hawaii System, University of Connecticut

Language: English

Topic: Rings, Modules, and Algebras

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funder: National Science Foundation

Award: Mathematical Sciences: Invariants for Abelian Groups and Representations of Posets