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Local methods for relational structures and their weak Krasneralgebras

Lokalnemetode za relacione strukture i njihove slabe Krasnerove algebre

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2009
Disertacija.pdf (950.5Kb)
Author
Pech, Maja
Mentor
Mašulović, Dragan
Committee members
Dolinka, Igor
Tošić, Ratko
Rajnahrd, Pešel
Bošnjak, Ivica
Mašulović, Dragan
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Abstract
In this thesis local methods are made available as a tool to study the unary parts of clones (or, equivalently, the weak Krasner algebras). Using the language of model theory and Galois connections we develop a link between homomorphism-homogeneous relational structures and local methods, via the notion of endolocality. The theoretical results that are obtained are used to develop a systematic theory for the classification of homomorphism-homogeneous relational 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 izmedu homomorfizam-homogenih relacionih struktura i lokalnih metoda, preko pojma endolokalnosti. Dobijeni teoretski rezultati su upotrebljeni za razvoj sistematske teorije za klasifikaciju homomorfizam-homogenih struktura.
Faculty:
Универзитет у Новом Саду, Природно-математички факултет
Date:
22-05-2009
Keywords:
local methods / lokalne metode / relational structure / clone theory / Galois connections / endomorphismmonoids / weak Krasner algebras / homomorphism-homogeneity / Rosenberg relations / endolocality / one-point extension. / relacione strukture / teorija klonova / veze Galoa / monoidi endomorfizama / slabe Krasnerove algebre / homomorfizam-homogenost / Rozenbergove relacije / endolokalnost / proˇsirenje za jednu taˇcku.

DOI: 10.2298/ns20090522pech

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Handle
https://hdl.handle.net/21.15107/rcub_nardus_1790
URI
http://www.cris.uns.ac.rs/DownloadFileServlet/DisertacijaPech%20Maja%20teza.pdf?controlNumber=(BISIS)73374&fileName=Pech%20Maja%20teza.pdf&id=622&source=NaRDuS&language=sr
https://nardus.mpn.gov.rs/handle/123456789/1790
http://www.cris.uns.ac.rs/record.jsf?recordId=73374&source=NaRDuS&language=sr

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