Summer School on Algebra and Ordered Sets 2002 Hotel Partizan, Tale, Slovakia Sept 1 - Sept 6, 2002 Final programme _______________________________ Sunday, Sept 1, 2002 afternoon: arrival of participants, registration, accommodation 18.00 dinner 19.00 informal meeting of participants combined with wine tasting ______________________________ Monday, Sept 2, 2002 9.00- 9.10 Opening (Miroslav Haviar, Tibor Katrinák, Pavel Procházka) Morning session (Lecture saloon 1) Chairman: T. Katrinák 9.15- 9.45 Reinhard Pöschel: Relational varieties 9.55-10.45 Friedrich Wehrung: Sublattices of lattices of order-convex sets 10.45-11.15 Coffee break 11.15-12.15 George Grätzer: Finite lattices and congruences. A survey. I Evening sessions Lecture saloon 1 Chairman: Fred Wehrung 19.00-19.20 Marina Semenova: Sublattices of lattices of convex subsets of vector spaces 19.25-19.45 Jirí Tuma: Dual spaces of congruence lattices 19.50-20.10 Sándor Radeleczki: 0-conditions and tolerance schemes 20.15-20.45 Guenther Eigenthaler: Congruence regularity and its generalizations Lecture saloon 2 Chairman: Christian Herrmann 19.00-19.20 Richard Wiegandt: Primitivity and rings with involution 19.25-19.45 Joerg Koppitz: Free M-solid semigroups 19.50-20.10 Jan Paseka: A characterization of Morita equivalence pairs of quantales 20.15-20.45 Janis Cirulis: Birkhoff algebras in Kleisli categories ____________________________________ Tuesday, Sept 3, 2002 Morning session (Lecture saloon 1) Chairman: Sándor Radeleczki 8.45- 9.10 Eszter Horváth: Tolerance intersection property in congruence modular varieties 9.15- 9.40 Gábor Czédli: Optimal Mal'tsev conditions for modular congruence lattice identities 9.45-10.45 Béla Csákany: Minimal clones I 10.45-11.15 Coffee break 11.15-12.15 George Grätzer: Finite lattices and congruences. A survey. II 14.00 - 17.45 Trip to Bystrianska Cave Evening sessions Lecture saloon 1 Chairman: Miroslav Plošcica 19.00-19.20 Gejza Jenca: On finite effect algebras 19.25-19.45 Zdenka Riecanová: Distributive effect algebras 19.50-20.10 Andreja Tepavcevic: Representation of posets by join irreducibles and applications 20.15-20.35 Dana Šalounová: Almost finite-valued GMV-algebras 20.40-21.00 Josef Šlapal: An alternative digital topology Lecture saloon 2 Chairman: Karla Musilová 19.00-19.20 Dragan Mašulovic: Operators on classes of coalgebras 19.25-19.45 Bozena and Bogdan Staruch: Possibility operator for partial models 19.50-20.10 Jan Kuhr: On pseudo BL-algebras 20.15-20.35 Ondrej Klíma: Equations in finite semigroups ________________________________________ Wednesday, Sept 4, 2002 8.30 - 18.00 whole day trips (main route: Trangoška 1120m - Chata Štefánika 1728m - Dumbier 2043m - Chopok 2024m- Dereše 2004m - Kosodrevina - Srdiecko) 19.00 - 24.00 conference dinner - Slovak Koliba ________________________________________ Thursday, Sept 5, 2002 Morning session (Lecture saloon 1) Chairman: Dragan Masulovic 8.45- 9.10 Ivan Chajda: Pseudocomplements in non-distributive lattices 9.15- 9.40 Jirí Rachunek: Automorphisms of tournaments 9.45-10.45 Béla Csákany: Minimal clones II 10.45-11.15 Coffee break 11.15-12.15 George Grätzer: Finite lattices and congruences. A survey. III Evening sessions Lecture saloon 1 Chairman: Jan Paseka 19.00-19.20 Josef Niederle: Pseudocomplementedness, 0-distributivity and infinite distributivity in ordered sets 19.25-19.45 Jirí Novotný: Application of Rough Sets in a Prediction Problem 19.50-20.10 Karla Musilová: Graph homomorphisms of monounary algebras 20.15-20.35 Michael Roddy: The Product Problem for FPP; some recent (minor) developments 20.40-21.00 Alexander Rutkowski: Fixed points in ordered sets, the product property Lecture saloon 2 Chairman: Bozena Staruch 19.00-19.20 Christian Herrmann: *-regular rings and their lattice of principal left ideals (with Florence Micol) 19.25-19.45 Tomasz Polacik: An algebraic approach to weak arithmetic 19.50-20.10 Piotr Wojtylak: Sets of formulas provable in a bounded number of steps (with Joanna Grygiel) 20.15-20.35 Wojciech Dzik: Unification for some Stone algebras and for some modal logics 20.40-21.00 Vladimír Slezák: On kernels of independent subsets in complete lattices __________________________________ Friday, Sept 6, 2002 Morning session (Lecture saloon 1) Chairman: Michael Roddy 8.45- 9.10 Libor Polák: Certain applications of syntactic semirings 9.15- 9.40 Csaba Szabo: Order varieties and Malcev-functions 9.45-10.45 Béla Csákany: Minimal clones III 10.45-11.15 Coffee break 11.15-12.15 George Grätzer: Finite lattices and congruences. A survey. IV 12.15-12.30 Closure (George Grätzer, Miroslav Haviar, Tibor Katrinák) Last updated: 11 September 2002 (by Miroslav Haviar {haviar@pdf.umb.sk) }