Local methods for relational structures and their weak Krasneralgebras
| Autor: | Pech Maja |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2009 |
| Předmět: |
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. |
| Druh dokumentu: | Diplomová práce |
| DOI: | 10.2298/NS20090522PECH |
| Popis: | In this thesis local methods are made available as a tool to study theunary parts of clones (or, equivalently, the weak Krasner algebras). Using thelanguage of model theory and Galois connections we develop a link betweenhomomorphism-homogeneous relational structures and local methods, via thenotion of endolocality. The theoretical results that are obtained are used to developa systematic theory for the classification of homomorphism-homogeneousrelational structures. U ovoj tezi su razvijene lokalne metode koje se mogu koristiti za izu-ˇcavanje unarnih delova klonova (ili, ekvivalentno, slabih Krasnerovih algebri).Koriˇs´cenjem jezika teorije modela i Galoovih veza uspostavljen je odnos izmeduhomomorfizam-homogenih relacionih struktura i lokalnih metoda, preko pojmaendolokalnosti. Dobijeni teoretski rezultati su upotrebljeni za razvoj sistematsketeorije za klasifikaciju homomorfizam-homogenih struktura. |
| Databáze: | Networked Digital Library of Theses & Dissertations |
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