Title

The Classification of Infinite Abelian Groups with Partial Decomposition Bases in L∞ω

Document Type

Article

Publication Date

11-2-2017

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.

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DOI

10.1216/RMJ-2017-47-2-463