Summer Conference on General Algebra and Ordered Sets �Kosicka Bela, August 31-- September 6, 2003 PROGRAMME ___________________________________ MONDAY -- SEPTEMBER 1, 2003 �� 8.45 -- opening Chairman: Tibor Katrinak 8.50 -- 9.20 DVURECENSKIJ Anatolij: Jan Jakubik, octogenarian 9.25 -- 10.15 HOLLAND W. Charles: A survey of lattice ordered groups I. --- coffee break --- 10.45 -- 11.35 WEHRUNG Fridrich: A recent progress in Congruence of lattices Problems I. 11.40 -- 12.00 CHAJDA Ivan: Implication in MV-algebras 12.05 -- 12.25 RACHUNEK Jiri: Relatively compact pseudo-complements in algebraic, distributive lattices Chairman: Jiri Rachunek 16.00 -- 16.20 RIECANOVA Zdenka: States and probabilities on lattice effect algebras 16.25 -- 16.45 JENCA Gejza: Orthocomplete homogeneous effect algebras 16.50 -- 17.10 KUHR Jan: A generalization of GMV-algebras 17.15 -- 17.35 DVURECENSKIJ Anatolij: States and pseudo-effect algebras with general compatibility 17.40 -- 18.00 CHETCUTI Emanuel: Algebraic properties and completeness of inner product spaces _____________________________________ TUESDAY -- SEPTEMBER 2, 2003 �� Chairman: Gabor Czedli 8.45 -- 9.30 IDZIAK Pawel: Counting of finite algebras I. 9.35 -- 9.55 POLAK Libor: Some applications of syntactic semiring 10.00 -- 10.20 DZIK Wojciech: Unification in some Boolean algebras with operators --- coffee break --- Chairman: Kalle Kaarli 10.45 -- 11.35 HOLLAND W. Charles: A survey of lattice ordered groups II. 11.40 -- 12.00 FRIED Ervin: Contradictional subclasses of a variety 12.05 -- 12.25 CACERES Luis: Ultraproducts and algebraic structures Chairman: Richard Wiegandt 16.00 -- 16.50 WEHRUNG Fridrich: A recent progress in Congruence of Lattices Problems II. 16.55 -- 17.15 KLIMA Ondrej: Identities and equations over finite monoids 17.20 -- 17.50 GLAZEK Kazimierz: Algebraic scheme of independence notions _______________________________________ WEDNESDAY -- SEPTEMBER 3, 2003 The conference trip to the hill "Sivec". _______________________________________ THURSDAY -- SEPTEMBER 4, 2003 �� Chairman: Ivan Chajda 8.45 -- 9.30 HOLLAND W. Charles: A survey of lattice ordered groups III. 9.35 -- 9.55 CZEDLI Gabor: Test lattices 10.00 -- 10.20 PINSKER Michael: Clones on infinite sets --- coffee break --- Chairman: Csaba Szabo 10.45 -- 11.35 WEHRUNG Friedrich: A recent progress in Congruence of Lattices Problems III. 11.40 -- 12.10 POESCHEL Reinhard: Relation graphs and operations Chairman: Danica Studenovska 16.00 -- 16.50 IDZIAK Pawel: Counting of finite algebras II. 16.55 -- 17.15 SALOUNOVA Dana: LEX-extensions of DRl-monoids and GMV-algebras 17.20 -- 17.40 WOJTYLAK Piotr: Unification in Proof Theory 17.45 -- 18.15 GRYGIEL Joanna: Sizes of maximal atomistic intervals in modular lattices ____________________________________________ FRIDAY -- SEPTEMBER 5, 2003 �� Chairman: Libor Polak 8.45 -- 9.30 IDZIAK Pawel: Counting of finite algebras III. 9.35 -- 9.55 SZABO Csaba: Ordervarieties and fundamental groups of posets 10.00 -- 10.20 KAARLI Kalle: On equationally compact commutative inverse semigroups --- coffee break --- Chairman: Kazimierz Glazek 10.45 -- 11.05 CERNAK Stefan : Convergence with a fixed regulator in l-groups 11.10 -- 11.30 RUZICKA Pavel: Ideal lattices of dimension groups 11.35 -- 11.55 WIEGANDT Richard: Supplementing radicals and decomposition theorems 12.00 -- 12.25 RADELECZKI Sandor: On the lattice of interval decompositions ( joint work with S. Foldes, TU Tampere, Finland) Chairman: Gejza Jenca 16.00 -- 16.20 STUDENOVSKA Danica: On a representation of monounary algebras by means of irreducibles 16.25 -- 16.45 KATRINAK Tibor: Projective extensions of semilattices 16.50 -- 17.10 PASEKA Jan: On an existence of points in quantales 17.15 -- 17.35 SOBOTIK Ivan: Quantale congruences and their fixpoints 17.40 -- 18.00 HOSKOVA Sarka: Abelianizing of hyperstructures as a categorical reflection and its concrete applications