Dr. Peter Loth is the author of the book "Classifications of abelian groups and
Pontrjagin duality'' and has published numerous articles in various journals
and conference proceedings. Before joining Sacred Heart University in 1998, he held
visiting positions at Case Western Reserve University and at Muskingum College. His areas
of research include model-theoretic aspects of abelian group theory and the interaction
between topology and abelian groups. Courses he taught include Modern College
Mathematics, Calculus, Linear Algebra, Abstract Algebra, Real Analysis and The Art of
Thinking. He has been team advisor for the international Mathematical Contest in Modeling
(MCM) for over 10 years. Dr. Loth is a member of the American Mathematical Society. His
research interests include model-theoretic aspects of abelian group theory and the
interaction between topology and abelian groups. 

Education: Ph.D., Wesleyan University; M.S., University of Erlangen-Nürnberg, Germany.

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...