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Last update: T_KA (14.05.2013)
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Last update: doc. Mgr. et Mgr. Jan Žemlička, Ph.D. (10.06.2019)
Předmět je zakončen ústní zkouškou. |
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Last update: doc. Mgr. Pavel Růžička, Ph.D. (10.10.2017)
1. Gratzer, G. General Lattice Theory (2nd ed.), Birkhauser Verlag, Basel, 1998.
2. Nation, J. B., Notes on Lattice Theory. Cambridge studies in advanced mathematics, 1998. Online: https://pdfs.semanticscholar.org/a16b/e5f1b0f120d0eacc1615ef5492fc2d9a32c3.pdf
3. Jipsen, P. and Rose, H., Varieties of Lattices, Lecture Notes in Mathematics, Vol.1533, Springer-Verlag, Berlin-New York, 1992.
4. Freese, R., Ježek, J., Nation, J. B., Free Lattices, Mathematical Surveys and Monographs, Vol.42, American Mathematical Society, Providence, RI, 1995
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Last update: doc. Mgr. Pavel Růžička, Ph.D. (10.10.2017)
Zkouška bude ústní, sestávající ze třech otázek:
Student dostane dostatek času k přípravě odpovědí.
Rozsah požadovaných znalostí je dán odpřednášenou látkou. |
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Last update: T_KA (14.05.2013)
Free lattices: free lattice and free product, Whitman's conditions, free lattice generated by three elements, semidistributive lattices, covers in free lattices
Lattice varieties: varieties and fully invariant congruence relations, structure of lattice varieties, equational bases
Tensor product: tensor product of join-semilattices, capped product, tensor product and congruences
Representation of algebraic lattices: Lampe's theorem, Kuratowski lemma, Dilworth's congruence lattice problem |