Abelian Groups with Partial Decomposition Bases in L^δ_∞ω, Part I

Authors

Carol Jacoby, Jacoby Consulting
Katrin Leistner
Peter Loth, Sacred Heart UniversityFollow
Lutz Strungmann

Document Type

Book Chapter

Publication Date

2012

Abstract

We consider the class of abelian groups possessing partial decomposition bases in L^δ_∞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.

DOI

10.1090/conm/576/11349

Recommended Citation

Jacoby, C., Leistner, K., Loth, P., & Strüngmann, L. (2012). Abelian groups with partial decomposition bases in L^δ_∞ω, Part I", in groups and model theory, Contemporary Mathematics, 576: 163-175. doi: 10.1090/conm/576/11349