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https://open.uns.ac.rs/handle/123456789/27414| Title: | Local methods for relational structures and their weak Krasneralgebras Lokalnemetode za relacione strukture i njihove slabe Krasnerove algebre |
Authors: | Pech Maja | Keywords: | local methods, relational structure, clone theory, Galois connections,endomorphismmonoids,weak Krasner algebras, homomorphism-homogeneity,Rosenberg relations, endolocality, one-point extension.;lokalne metode, relacione strukture, teorija klonova, veze Galoa,monoidi endomorfizama, slabe Krasnerove algebre, homomorfizam-homogenost,Rozenbergove relacije, endolokalnost, proˇsirenje za jednu taˇcku. | Issue Date: | 22-May-2009 | Publisher: | Univerzitet u Novom Sadu, Prirodno-matematički fakultet u Novom Sadu University of Novi Sad, Faculty of Sciences at Novi Sad |
Abstract: | <p>In this thesis local methods are made available as a tool to study the<br />unary parts of clones (or, equivalently, the weak Krasner algebras). Using the<br />language of model theory and Galois connections we develop a link between<br />homomorphism-homogeneous relational structures and local methods, via the<br />notion of endolocality. The theoretical results that are obtained are used to develop<br />a systematic theory for the classification of homomorphism-homogeneous<br />relational structures.</p> <p>U ovoj tezi su razvijene lokalne metode koje se mogu koristiti za izu-<br />ˇcavanje unarnih delova klonova (ili, ekvivalentno, slabih Krasnerovih algebri).<br />Koriˇs´cenjem jezika teorije modela i Galoovih veza uspostavljen je odnos izmedu<br />homomorfizam-homogenih relacionih struktura i lokalnih metoda, preko pojma<br />endolokalnosti. Dobijeni teoretski rezultati su upotrebljeni za razvoj sistematske<br />teorije za klasifikaciju homomorfizam-homogenih struktura.</p> |
URI: | https://open.uns.ac.rs/handle/123456789/27414 | DOI: | 10.2298/NS20090522PECH |
| Appears in Collections: | PMF Teze/Theses |
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