Algebra and Combinatorics Research Group
- Duval, Art
- Professor
- Bell Hall 303
- 915-747-6846
- artduval@math.utep.edu
- Faculty profile
- Personal webpage
- Research Field: Algebraic Combinatorics.
- Schwab, Emil Daniel
- Associate Professor
- Bell Hall 202
- 915-747-6758
- eschwab@utep.edu
- Faculty profile
- Personal webpage
- Research Field: Arithmetic Functions, Inverse Semigroups, Möbius Inversion , Special Categories.
- Wojciechowski, Piotr
- Associate Professor
- Bell Hall 324
- 915-747-6774
- piotrw@utep.edu
- Faculty profile
- Personal webpage
- Research Field: Ordered Algebraic Structures, MV-algebras, Linear Algebra.
Current Grants
Recent Publications
Online Modules for Linear and Matrix Algebra - With the support of grant NSF/CCLI-0737485, faculty at UTEP Mathematical Sciences Department developed a set of interactive online modules and investigations. Both the modules and the investigations are materials to support the learning of abstract linear algebra concepts. The grant's PI's are Dr. Hamide Dogan-Dunlap and Dr. Piotr Wojciechowski.
Cross Institutional Implementation of Supplemental Instruction, UTEP-EPCC Cooperative Project - Funded by U.S. Dept. of Education, MSEIP Program, from October 2008 to September 2011. The grant's UTEP PI is Dr. Emil Schwab, EPCC's PI is Gabriela Schwab.
- Art M. Duval; Caroline J. Klivans; Jeremy L. Martin. Cellular spanning trees and Laplacians of cubical complexes. Advances in Applied Mathematics, to appear.
- Piotr J. Wojciechowski, V. Kreinovich, et al. Proceedings of the 2003 22nd conference. In Robust methodology for characterizing system response to damage: a subjective partial ordered modifications of the traditional utility probability scheme. NAFIPS.
- Piotr J. Wojciechowski, A.J. Ruiz-Torres, F.J. Lopez, and J. C. Ho. Parallel machine scheduling problems considering regular measures of performance and machine cost. Journal of Operational Research Society.
- Piotr J. Wojciechowski. Pmv-algebras of matrices. Journal of Multiple-Valued Logic and Soft Computing, In print.
- Art M. Duval; Caroline J. Klivans; Jeremy L. Martin. Simplicial matrix-tree theorems. Trans. Amer. Math. Soc., 361:6073–6114, 2009.
- Barnabás Bede, Emil Daniel Schwab, Hajime Nobuhara, and Imre J. Rudas. Approximation by Shepard type pseudo-linear operators and applications to image processing. Internat. J. Approx. Reason., 50(1):21–36, 2009.
- Emil Daniel Schwab. A partial order on bipartite graphs with n vertices,. Annals Univ Tibiscus, Comp. Sci. Series, 7:315–324, 2009.
- Emil D. Schwab. On incidence algebras of combinatorial inverse monoids. Communications in Algebra, in press, 2009.
- Emil D. Schwab. The möbius category of a combinatorial inverse monoid with zero,. Annales des Sciences Mathematique du Quebec, in press, 2009.
- Emil Daniel Schwab and George Stoianov. A dirichlet analogue of the free monogenic inverse semigroup via m¨obius inversion,. Rocky Mountain Journal of Math, in press, 2009.
- Piotr J. Wojciechowski. Embeddings of totally ordered mv-algebras of bounded cardinality. Fundamenta Mathematicae, 203:57–63, 2009.
- Piotr J. Wojciechowski, C. Drossos, P. Peppas, and C. Tsinakis eds. Single structures generating quasivarieties of mv- and gmv-algebras, proc. of the seventh panhellenic logic symposium. Patras University Press, pages 202–204, 2009.
- Piotr J. Wojciechowski, W. Dziobiak, and A.V. Kravchenko. Equivalents for a quasivariety to be generated by a single structure. Studia Logica, 91:113–1123, 2009.
- Osvaldo Mendez, Liviu Horia Popescu, and Emil Daniel Schwab. Inner separation structures for topological spaces. Balkan J. Geom. Appl., 13(2):59–65, 2008.
- Emil Daniel Schwab. Strictly increasing sequences of integers and the Möbius inversion formula. JP J. Algebra Number Theory Appl., 11(1):1–14, 2008.
- Emil Daniel Schwab. The Möbius category of a semilattice of groups. Ital. J. Pure Appl. Math., (24):121–134, 2008.
- Emil Daniel Schwab and Pentti Haukkanen. A unique factorization in commutative Möbius monoids. Int. J. Number Theory, 4(4):549–561, 2008.