Article
The Classification of Infinite Abelian Groups with Partial Decomposition Bases in L∞ω
Mathematics Faculty Publications
• , Sacred Heart University
Document Type
Article
Publication Date
11-2-2017
Disciplines
Abstract
We consider the class of abelian groups with partial decomposition bases, which includes groups classified by Ulm, Warfield, Stanton and others. We define an invariant and classify these groups in the language L∞ω, or equivalently, up to partial isomorphism. This generalizes a result of Barwise and Eklof and builds on Jacoby's classification of local groups with partial decomposition bases in L∞ω. L∞ω"> L∞ω">
DOI
10.1216/RMJ-2017-47-2-463
Citation Information
Jacoby, Carol; Loth, Peter. The classification of infinite abelian groups with partial decomposition bases in $L_\infty \omega$. Rocky Mountain J. Math. 47 (2017), no. 2, 463--477. doi:10.1216/RMJ-2017-47-2-463. http://projecteuclid.org/euclid.rmjm/1492502546.