. . . "Hlavn\u00EDho c\u00EDle projektu - rozvinut\u00ED teorie projektivn\u00EDch reprezentac\u00ED a jej\u00ED zobecn\u011Bn\u00ED na lok\u00E1ln\u011B voln\u00E9 reprezentace vychyluj\u00EDc\u00ED moduly a ko\u0159eny funktor\u016F Ext - bylo dosa\u017Eeno. \u010C\u00E1st projektu t\u00FDkaj\u00EDc\u00ED se reprezentac\u00ED svaz\u016F a polosvaz\u016F nevedla k podstatn\u00FDm v\u00FDsledk\u016Fm a byla v pr\u016Fb\u011Bhu \u0159e\u0161en\u00ED zm\u011Bn\u011Bna."@cs . "Approximations of representations projective and tilting modules lattice realizations Constraint Satisfaction Problem (CSP)"@en . "Algebraic Methods in the Representation Theory (Approximations, Realizations, and Constraints)"@en . "2013-06-12+02:00"^^ . "The proposed five year project of basic research is focused on the following three areas of contemporary algebra:(i) The structure of projective and tilting modules over associative rings, and their applications.(ii) Algebraic representations of lattices.(iii) The Constraint Satisfaction Problem and algebras of polymorphisms.The research will continue ongoing collaboration of the applicants with algebra centers at the Universities of Barcelona, Caen, and Padova, supported recently by the German-Isreali Foundation, for example, and resulting in papers in distinguished mathematical journals (Trans.Amer.Math.Soc., Bull.London Math.Soc. et al.).The research will make use of representation theoretic, homological and universal algebraic methods, and of the methods of logic and combinatorics. Besides a series of research papers and lectures at international conferences, it will contribute to graduate education at Fac.Math.Phys.of Charles University in Prague."@en . . . . "2014-07-01+02:00"^^ . . . . . "15"^^ . "15"^^ . . "http://www.isvav.cz/projectDetail.do?rowId=GA201/09/0816"^^ . "2013-12-31+01:00"^^ . . "Algebraick\u00E9 metody teorie reprezentac\u00ED (aproximace, realizace a omezen\u00ED)" . "GA201/09/0816" . . . "0"^^ . . . . "0"^^ . . "P\u0159edkl\u00E1dan\u00FD p\u011Btilet\u00FD projekt z\u00E1kladn\u00EDho v\u00FDzkumu je zam\u011B\u0159en na t\u0159i aktu\u00E1ln\u00ED t\u00E9mata sou\u010Dasn\u00E9 algebry: (i) Strukturu projektivn\u00EDch a vychyluj\u00EDc\u00EDch modul\u016F nad asociativn\u00EDmi okruhy a jejich aplikace. (ii) Algebraick\u00E9 reprezentace svaz\u016F. (iii) Probl\u00E9m spl\u0148ov\u00E1n\u00ED omezen\u00ED (CSP) a algebry polymorfism\u016F. V\u00FDzkum bezprost\u0159edn\u011B nav\u00E1\u017Ee na prob\u00EDhaj\u00EDc\u00ED mezin\u00E1rodn\u00ED spolupr\u00E1ci navrhovatel\u016F s algebraick\u00FDmi centry na univerzit\u00E1ch v Barcelon\u011B, Caen a Padov\u011B, podporovanou v ned\u00E1vn\u00E9 dob\u011B mj. German-Israeli Foundation, jej\u00ED\u017E v\u00FDsledky byly publikov\u00E1ny nap\u0159. v Trans.Amer.Math.Soc. a Bull.London Math.Soc. V\u00FDzkum bude zalo\u017Een na metod\u00E1ch teorie reprezentac\u00ED, homologick\u00E9 a univerz\u00E1ln\u00ED algebry, logiky a kombinatoriky. Krom\u011B \u0159ady publikac\u00ED a p\u0159edn\u00E1\u0161ek na mezin\u00E1rodn\u00EDch konferenc\u00EDch p\u0159isp\u011Bje projekt tak\u00E9 k v\u00FDchov\u011B doktorand\u016F na MFF UK." . "2009-01-01+01:00"^^ . "1"^^ . "The main goal of the project has been reached - the theory of projective representations and their generalizations to locally free representations, tilting modules, and the roots of the Ext functor. On the other hand, the part devoted to the representations of lattices and semilattices did not lead to essential results and it was changed to another promising topic."@en .