Project information
Categorical Methods of the Theory of Structures and Computer Science
- Project Identification
- GA201/02/0148
- Project Period
- 1/2002 - 12/2004
- Investor / Pogramme / Project type
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Czech Science Foundation
- Standard Projects
- MU Faculty or unit
- Faculty of Science
- Cooperating Organization
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Charles University
- Responsible person prof. RNDr. Věra Trnková, DrSc.
- Responsible person doc. RNDr. Marie Demlová, CSc.
The project develops methods of the theory of categories, ordered sets, lattices and semigroups and their applications in theoretical computer science. Attention will be focused on algebraic theories, varieties and algebraic and coalgebraic specifications of data types and on connections of lattice theory with theoretical computer science. In particular, we will study applications of algebraic and coalgebraic theories to solutions of iterative equations and specifications of data types, clones of topological and algebraic structures, categorical properties of categories of coalgebras and their use in theoretical computer science, bisimulations, quantales and their modules and structural theory of varieties, with stress on varieties of semigroups. The work on the project will continue cooperation with a number of research groups in Europe and North America and the achieved results will be published in internationally recognized journals.
Publications
Total number of publications: 17
2008
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Forbidden retracts for finite ordered sets of width at most four
Discrete Mathematics, year: 2008, volume: 308, edition: 10
2007
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Combinatorial model categories
Year: 2007, type: Appeared in Conference without Proceedings
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Purity in algebra
Algebra Universalis, year: 2007, volume: 56, edition: 1
2006
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Ideals in ordered sets, a unifying approach
Rendiconti del Circolo Matematico di Palermo, year: 2006, volume: 55, edition: 1
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The strength of Engeler's lemma
Mathematical Structures in Computer Science, year: 2006, volume: 16, edition: 2
2005
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Morita equivalence for m-regular quantales
Proceedings of the Dresden Conference 2004 (AAA68) and the Summer School 2004, year: 2005
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On infinitely distributive ordered sets
Mathematica Slovaca, year: 2005, volume: 55, edition: 5
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Operations and equations for coalgebras
Mathematical Structures in Computer Science, year: 2005, volume: 15, edition: 1
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Rieffel induction and strong Morita equivalence in the context of Hilbert modules
Soft computing, year: 2005, volume: Neuveden, edition: June 2005
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Weak factorizations, fractions and homotopies
Applied Categorical Structures, year: 2005, volume: 13, edition: 2