Professor Loth's interests include model-theoretic aspects of abelian group
theory and the interaction between topology and abelian groups. 

Books

Link

Classifications of Abelian Groups and Pontrjagin Duality, Mathematics Faculty Publications (1998)

In the first part of this book, the reader is introduced to the theory of...

 

Articles

Link

Partial Decomposition Bases and Warfield Modules (with Carol Jacoby), Mathematics Faculty Publications (2014)

We consider the class ofℤp-modules with partial decomposition bases. This class was developed in order...

 

PDF

Abelian Groups with Partial Decomposition Bases in Lδ∞ω, Part I (with Carol Jacoby, Katrin Leistner, and Lutz Strungmann), Mathematics Faculty Publications (2012)

We consider the class of abelian groups possessing partial decomposition bases in Lδ∞ω for δ...

 

PDF

Abelian Groups with Partial Decomposition Bases in Lδ∞ω, Part II (with Carol Jacoby), Mathematics Faculty Publications (2012)

We consider abelian groups with partial decomposition bases in Lδ∞ω for ordinals δ. Jacoby, Leistner,...

 

PDF

Infinitary Equivalence of Zp- Modules with Nice Decomposition Bases (with Rüdiger Göbel, Katrin Leistner, and Lutz Strüngmann), Mathematics Faculty Publications (2011)

Warfield modules are direct summands of simply presented Zp - modules, or, alternatively, are Zp...

 

PDF

On T-Pure and Almost Pure Exact Sequences of LCA Groups, Mathematics Faculty Publications (2006)

A proper short exact sequence in the category of locally compact abelian groups is said...