Peter Loth, Ph.D.
Education: Ph.D., Wesleyan University; MS, University of Erlangen-Nurnberg, Germany
Research Interests: Abelian group theory, topological groups
Courses Usually Taught: Modern College Mathematics, Precalculus, Calculus for Decision Making, Calculus I, II and III, Linear Algebra, Abstract Algebra, Mathematical Structures and Proofs, Real Analysis, Complex Analysis, Senior Seminar in Mathematics.
Biography: Dr. Loth is Professor of Mathematics. Before joining the faculty of Sacred Heart University in 1998, he held visiting positions at Case Western Reserve University and at Muskingum College. Dr. Loth has been invited as a key speaker at international conferences on Abelian groups, rings and modules. His research has been published in refereed articles in various journals and conference proceedings as well as in his book "Classifications of Abelian Groups and Pontrjagin Duality". Dr. Loth is a member of the American Mathematical Society.
Publications:
Book:
• Classifications of Abelian Groups and Pontrjagin Duality, Algebra, Logic and Applications, Volume 10, Gordon and Breach Science Publishers, Amsterdam (1998).
Articles:
• Infinitary equivalence of Z_p-modules with nice decomposition bases (with R. Gobel, K. Leistner and L. Strungmann), J. Comm. Algebra 3 (2011), 321-348.
• On t-pure and almost pure exact sequences of LCA groups, J. of Group Theory 9 (2006), 799-808.
• Pure extensions of locally compact abelian groups, Rend. Sem. Mat. Univ. Padova 116 (2006), 31-40. Erratum 118 (2007), 267.
• Compact topologically torsion elements of topological abelian groups, Rend. Sem. Mat. Univ. Padova 113 (2005), 117-123.
• On pure subgroups of locally compact abelian groups, Arch. Math. 81 (2003), 255-257.
• A density property of the tori and duality, Rend. Sem. Mat. Univ. Padova 107 (2002), 185-188.
• Topologically pure extensions, Abelian Groups, Rings and Modules, Proceedings of the AGRAM 2000 Conference in Perth, • Western Australia, July 9-15, 2000, Contemporary Mathematics 273, American Mathematical Society (2001), 191-201.
• When is a discrete bounded subgroup of an LCA group necessarily a topological direct summand? Far East J. Math. Sci. (FJMS) 2 (2000), 929-934.
• Direct decompositions of LCA groups, Abelian Groups and Modules, Proceedings of the International Conference in Dublin, Ireland, August 10-14, 1998, Trends in Mathematics, Birkhauser Verlag Basel (1999), 301-307.
• Characterizations of Warfield groups, J. Algebra 204 (1998), 32-41.
• Splitting in locally compact abelian groups, Rend. Sem. Mat. Univ. Padova 99 (1998), 187-196.
• The duals of almost completely decomposable groups, Arch. Math. 68 (1997), 353-358.
• The duals of Warfield groups, Pacific J. Math. 181 (1997), 333-356.
• Splitting of the identity component in locally compact abelian groups, Rend. Sem. Mat. Univ. Padova 88 (1992), 139-143.
Contact:
Academic Building , SC 220E
Ph: 203-365-7562
Fax: 203-396-8019
Email: LothP@sacredheart.edu
Website: http://faculty.sacredheart.edu/lothp/
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