Tommy Kucera

Profile

Select Publications

Name: Tommy Kucera

Position Title: Associate Professor

Office Phone Number: (204) 474-6921

Email: Thomas.Kucera@umanitoba.ca

Research and Teaching Interests

Mathematical logic, model theory, stability theory, applications of model theory to the study of modules and rings

Education

B.Sc. (Hons) Manitoba
M.Sc. Manitoba
Ph.D. McGill

Current graduate student

Alan Pasos Trejo (M.Sc. Thesis)

Courses taught

MATH 1500 A02
MATH 3410 A01
MATH 8720 T01

Links

http://server.math.umanitoba.ca/~tkucera/

Enns, Clint and Kucera, Thomas G.. Purity and pure-injectivity for topological modules. In Models, logics, and higher-dimensional categories 55–77. Amer. Math. Soc., Providence, RI, 2011.
Kucera, Thomas G.. Mihály Makkai: a biographical note, with reminiscences. In Models, logics, and higher-dimensional categories ix–x. Amer. Math. Soc., Providence, RI, 2011.
Kucera, T. G. (2009). The structure of indecomposable Σ-pure-injective modules (a survey of basic results and problems). In Proceedings of the International Conference on Modules and Representation Theory pp. 85–102. Presa Univ. Clujean ̆a, Cluj-Napoca,
Kucera, T. G. (2002). Explicit descriptions of the indecomposable injective modules over Jategaonkar’s rings. Comm. Algebra 30 (12), 6023–6054.
Kucera, T. G. and Rothmaler, Ph. (2000). Pure-projective modules and positive constructibility. J. Symbolic Logic 65 (1), 103–110.
Chartrand, R. and Kucera, T. (1994). Deissler rank complexity of powers of indecomposable injective modules. Notre Dame J. Formal Logic 35 (3), 398–402.
Kucera, T. G. (1993). The regular hierarchy in modules. Comm. Algebra 21 (12), 4615–4628.
Kucera, T. G. and Prest, M. (1992). Four concepts from “geometrical” stability theory in modules. J. Symbolic Logic 57 (2), 724–740.
Kucera, T. G. and Prest, M. (1992). Imaginary modules. J. Symbolic Logic 57 (2), 698–723.
Kucera, T. G. (1989). Explicit descriptions of injective envelopes: generalizations of a result of Northcott. Comm. Algebra 17 (11), 2703–2715.
Kucera, T. G. (1988). Generalizations of Deissler’s minimality rank. J. Symbolic Logic 53 (1), 269–283.
Kucera, T. G. (1988). Positive Deissler rank and the complexity of injective modules. J. Symbolic Logic 53 (1), 284–293.
Kucera, T. G. (1988). Totally transcendental theories of modules: decomposition of models and types.Ann. Pure Appl. Logic 39 (3), 239–272.
Kucera, T. G. (1986). Stability theory for topological logic, with applications to topological modules. J. Symbolic Logic 51 (3), 755–769.
Kucera, Thomas Glen (1984). APPLICATIONS OF STABILITY-THEORETICAL METHODS TO THEORIES OF MODULES. ProQuest LLC, Ann Arbor, MI.
Kucera, T. G. and Sands, B. (1978). Lattices of lattice homomorphisms. Algebra Universalis 8 (2), 180–190.