Document Type

Article

Publication Date

2012

Abstract

We consider the class of abelian groups possessing partial decomposition bases in Lδ∞ω for δ an ordinal. This class contains the class of Warfield groups which are direct summands of simply presented groups or, alternatively, are abelian groups possessing a nice decomposition basis with simply presented cokernel. We prove a classification theorem using numerical invariants that are deduced from the classical Ulm-Kaplansky and Warfield invariants. This extends earlier work by Barwise-Eklof, Göbel and the authors.

Comments

Originally published:

Jacoby, Carol, K. Leistner, P. Loth and L. Strüngmann. "Abelian groups with partial decomposition bases in Lδ∞ω, Part I", in Groups and Model Theory, Contemporary Mathematics 576 (2012): 163-175.

http://dx.doi.org/10.1090/conm/576/11349


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