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

Authors

Carol Jacoby, Jacoby Consulting
Peter Loth, Sacred Heart UniversityFollow

Document Type

Book Chapter

Publication Date

2012

Abstract

We consider abelian groups with partial decomposition bases in L^δ_∞ω for ordinals δ. Jacoby, Leistner, Loth and Str¨ungmann developed a numerical invariant deduced from the classical global Warfield invariant and proved that if two groups have identical modified Warfield invariants and Ulm-Kaplansky invariants up to ωδ for some ordinal δ, then they are equivalent in L^δ_∞ω. Here we prove that the modified Warfield invariant is expressible in L^δ_∞ω and hence the converse is true for appropriate δ.

DOI

10.1090/conm/576/11348

Recommended Citation

Jacoby, C. & Loth, P. (2012). Abelian groups with partial decomposition bases in Lδ∞ω, Part II", in groups and model theory, Contemporary Mathematics, 576: 177-185.