Dr. Lee Klingler
Professor, Mathematical Sciences

Office: SE 228
Phone #: (561) 297 3257
Fax #: (561) 2972436
Email: klingler@fau.edu

First Year at FAU: 1984
Degrees
Ph.D. in Mathematics, University of WisconsinMadison, 1984
M.S. in Mathematics, University of WisconsinMadison, 1980
B.A. in Mathematics & Philosophy, Lebanon Valley College, 1977
Research Interests
Rings and modules, commutative ring theory, systems over rings, integral representations of finite groups, and mathematics education
Published Papers
Indecomposable modules of large rank over CohenMacaulay local rings,
(with W. Hassler, R. Karr, and R. Wiegand), Transactions of the
American Mathematical Society, 360, No. 3 (2008), 13911406.
Big indecomposable modules and directsum relations, (with W. Hassler,
R. Karr, and R. Wiegand), Illinois Journal of Mathematics, 51, No. 1
(2007), 99122.
Large indecomposable modules over local rings, (with W. Hassler, R.
Karr, and R. Wiegand), Journal of Algebra 303 (2006), 202215.
Directsum decompositions over onedimensional CohenMacaulay local rings, (with A. Facchini, W. Hassler, and R. Wiegand), Multiplicative ideal theory: a tribute to the work of Robert Gilmer, SpringerVerlag, Berlin (2006), 153168.
Large indecomposable modules over local rings, (with W. Hassler, R. Karr, and R. Wiegand), Journal of Algebra 303 (2006), 202215.
The ngenerator property in rings of integervalued polynomials determined by finite sets, (with J. Boynton), Archiv der Mathematik, 86 (2006), 3642.
The ordered group of invertible ideals of a Prüferdomain of finite character, (with J. Brewer), Communications in Algebra, 33, No. 11 (2005), 41974203.
Representation type of commutative Noetherian rings (Introduction), (with L. Levy), Algebras, Rings, and Their Representations, Proceedings of the International Conference on Algebras, Modules and Rings, Lisbon, Portugal, July 1418, 2003, World Scientific, Singapore (2006), 11315.
Representation type of commutative Noetherian rings III: global wildness and tameness, (with L. Levy), Memoirs of the American Mathematical Society, 832 (2005), 1170.
Representation type of commutative Noetherian rings II: local tameness, (with L. Levy), Pacific Journal of Mathematics, 200, No 2 (2001), 387483.
Representation type of commutative Noetherian rings I: local wildness, (with L. Levy), Pacific Journal of Mathematics, 200, No 2 (2001), 345386.
Rings of integervalued polynomials and the bcsproperty, (with J. Brewer), Proceedings of the Fourth International Conference on Commutative Ring Theory and Applications, Fez, Morocco, June 712, 2001, Lecture Notes in Pure and Applied Mathematics 231, Marcel Dekker, New York (2003), 6576.
On feedback invariants for linear dynamical systems, (with J. Brewer), Linear Algebra and its Applications, 325 (2001), 209220.
On the KrullSchmidtAzumaya Theorem for integral group rings, (with P. Hindman and C. Odenthal), Communications in Algebra, 26, No. 11 (1998), 37433758.
Tensor powers and projective modules for Hopf algebras, (with J. Feldvoss), Proceedings of the Eighth International Conference on Representations of Algebras, Trondheim, Norway, July 29August 10, 1996, CMS Conference Proceedings 24 (1998), 195203.
"What do you mean it's impossible?" Helping children refine their reasoning, (with D. Ploger and P. Fritzer), Teaching Children Mathematics 4, No. 3 (1997), 150155.
Spreadsheets, patterns, and algebraic thinking, (with D. Ploger and M. Rooney), Teaching Children Mathematics (Algebraic Thinking Focus Issue) 3, No. 6 (1997), 330334.
When does the ring K[y] have the coefficient assignment property?, (with J. Brewer, T. Ford, and W. Schmale), Journal of Pure and Applied Algebra 112 (1996), 239246.
The molecular computer, (with D. Ploger), Consortium: The Newsletter of the Consortium for Mathematics and Its Applications, No. 58 (1996), 67.
Computer spreadsheets and draw programs in the classroom, (with D. Ploger and M. Rooney), Techtrends for Leaders in Education and Training 41, No. 3 (1996), 2629.
Wild torsion modules over Weyl algebras, and general torsion modules over HNP's, (with L. Levy), Journal of Algebra 172 (1995), 273300.
Feedback stabilizibility over commutative rings, (with J. Brewer and W. Schmale), Linear Algebra for Control Theory, The IMA Volumes in Mathematics and its Applications, Vol. 62, Springer Verlag, New York (1994), 3142.
C[y] is a CAring and coefficient assignment is properly weaker than feedback cyclization over a PID, (with J. Brewer and W. Schmale), Journal of Pure and Applied Algebra 97 (1994), 265273.
The dynamic feedback cyclization problem for principal ideal domains, (with J. Brewer and W. Schmale), Journal of Pure and Applied Algebra 92 (1994), 213225.
A characterization of Dedekindlike orders that are Bass, (with J. Haefner), Proceedings of the Conference Methods in Module Theory, Colorado Springs, CO, May 29June 1, 1991, Lecture Notes in Pure and Applied Mathematics 140, Marcel Dekker, New York (1993), 135147.
Special quasitriads and integral group rings of finite representation type, II, (with J. Haefner), Journal of Algebra 158, No. 2 (1993), 323374.
Special quasitriads and integral group rings of finite representation type, I, (with J. Haefner), Journal of Algebra 158, No. 2 (1993), 279322.
Commutative group rings of finite representation type, Journal of Pure and Applied Algebra 80 (1992), 159176.
Integral representations of finite groups with finite representation type, (with J. Haefner), Azumaya Algebras, Actions, and Modules: Proceedings of a Conference in Honor of Goro Azumaya's Seventieth Birthday, AMS Contemporary Mathematics 124 (1991), 7382.
Construction of a counterexample to a conjecture of Zassenhaus, Communications in Algebra 19, No. 8 (1991), 23032330.
On the pole shifting problem for noncommutative rings, (with J. Brewer), Linear Algebra and its Applications 157 (1991), 147159.
The ring of integervalued polynomials of a semilocal principal ideal domain, (with J. Brewer), Linear Algebra and Its Applications 157 (1991), 141145.
On BCSrings and the pole shifting problem for linear systems, (with J. Brewer), Realization and Modelling in System Theory: Proceedings of the International Symposium MTNS 89, Vol. I, Progress in Systems and Control Theory 3, Birkhauser, Boston (1990), 173179.
Direct sum cancellation: Modules versus lattices, (with L. Levy), Communications in Algebra 18, No 6 (1990), 18571868.
Integral representations of groups of squarefree order, Journal of Algebra 129, No. 1 (1990), 2675.
Polynomial rings which are BCSrings, (with J. Brewer and F. Minnaar), Communications in Algebra 18, No. 1 (1990), 209223.
Dynamic feedback over rings whose homomorphic images are localglobal, (with J. Brewer), Communications in Algebra 17, No. 7 (1989), 17591773.
Pole shifting for families of systems: the dimension one case, (with J. Brewer), Mathematics of Control, Signals, and Systems 1 (1988), 285292.
Dynamic feedback over commutative rings, (with J. Brewer), Linear Algebra and Its Applications 98 (1988), 137168.
Pole assignability and the invariant factor theorem in Prufer domains and Dedekind domains, (with J. Brewer), Journal of Algebra 111, No. 2 (1987), 536545.
Sweepingsimilarity of matrices, (with L. Levy), Linear Algebra and Its Applications 75 (1986), 67104.
Modules over the integral group ring of a nonabelian group of order pq, Memoirs of the American Mathematical Society 341 (1986), 1125.
Integral representations of a nonabelian group of order pq, Proceedings of the Fourth International Conference on Representations of Algebras, CarletonOttawa Mathematical Lecture Note Series, No. 2, Ottawa (1984), 24.0124.06.