Article
Abelian Groups with Partial Decomposition Bases in Lδ∞ω, Part II
Mathematics Faculty Publications
Document Type
Book Chapter
Publication Date
1-1-2012
Disciplines
- Algebra,
- Mathematics and
- Set Theory
Abstract
We consider abelian groups with partial decomposition bases in Lδ∞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 Lδ∞ω. Here we prove that the modified Warfield invariant is expressible in Lδ∞ω and hence the converse is true for appropriate δ.
DOI
10.1090/conm/576/11348
Citation Information
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.