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Lattice-valued Identities and an Classes of Lattice-valued Subalgebras

dc.contributor.advisorTepavčević, Andreja
dc.contributor.otherŠešelja, Branimir
dc.contributor.otherTepavčević, Andreja
dc.contributor.otherĆirić, Miroslav
dc.contributor.otherBošnjak, Ivica
dc.creatorBudimirović, Branka V.
dc.date.accessioned2021-02-25T14:52:07Z
dc.date.available2021-02-25T14:52:07Z
dc.date.issued2011-06-14
dc.identifier.urihttps://www.cris.uns.ac.rs/DownloadFileServlet/Disertacijadisertacija.pdf?controlNumber=(BISIS)77334&fileName=disertacija.pdf&id=202&source=NaRDuS&language=srsr
dc.identifier.urihttps://www.cris.uns.ac.rs/record.jsf?recordId=77334&source=NaRDuS&language=srsr
dc.identifier.urihttps://www.cris.uns.ac.rs/DownloadFileServlet/IzvestajKomisije160128928747145.pdf?controlNumber=(BISIS)77334&fileName=160128928747145.pdf&id=16831&source=NaRDuS&language=srsr
dc.identifier.uri/DownloadFileServlet/IzvestajKomisije160128928747145.pdf?controlNumber=(BISIS)77334&fileName=160128928747145.pdf&id=16831
dc.identifier.urihttps://nardus.mpn.gov.rs/handle/123456789/17854
dc.description.abstractNeka je A neprazan skup i L = (L;·) proizvoljna mreža sa nulom i jedinicom. Svako preslikavanje A¯ : A ¡! L zovemo rasplinuti podskup od A. Uobičajeno je da se rasplinute podgrupe definišu na grupi. U radu su fazi podgrupe definisane na polugrupi kao i na rasplinutoj podpolugrupi. Jedan od glavnih rezultata je teorema o particiji rasplinutih kompletno regularnih polugrupa. Takođe su definisane rasplinute kongruencije i rasplinute jednakosti na rasplinutim podalgebrama neke algebre i ispitane njihove osobine. Uvedeni su pojmovi: podalgebre rasplinute podalgebre, rasplinutog homomorfizma rasplinute podalgebre na rasplinutu podalgebru i direktnog proizvoda rasplinutih podalgebri. Jedan od važnijih rezultata je teorema koja je uopštenje teoreme Birkhoff-a na rasplinutim strukturama.sr
dc.description.abstractLet A be nonemptu set, and let L = (L; 6) be a lattice with 0 and 1. The mapping A¯ : A ! L is called fuzzy subset of A. It is usual to define fuzzy subgroup on the group. In this work fuzzy semigroups are defined on the semigroup and on the fuzzy subsemigroup, too. As a main result is theorem about partition fuzzy completlu regular semigroup. Also, fuzzy congruences are defined, and fuzzy equolites on fuzzy subalgebras of an algebra and their propertes are investigated. We introduced some new notions: subalgebras of fuzzy subalgebras, fuzzy homomorphism of fuzzy subalgebra, and direct product of fuzzy subalgebras. One of the most important result is extension of Birkhoff’s theorem on fuzzy structures.en
dc.formatapplication/pdf
dc.languagesr (latin script)
dc.publisherУниверзитет у Новом Саду, Природно-математички факултетsr
dc.rightsopenAccessen
dc.sourceУниверзитет у Новом Садуsr
dc.subjectalgebra, mreža, rasplinuti podskup, mrežno-vrednosna podalgebra, rasplinuta polugrupa, rasplinuta grupa, mrežnovrednosni identitet, varijetet, rasplinuti homomorfizamsr
dc.subjectalgebra, lattice, fuzzy subset, lattice valued algebra, fuzzy semigroup, fuzzy group, lattice valued identity, variety, fuzzy homomorphismen
dc.titleMrežno vrednosni identiteti i neke klase mrežno vrednosnih podalgebrisr
dc.title.alternativeLattice-valued Identities and an Classes of Lattice-valued Subalgebrasen
dc.typedoctoralThesisen
dc.rights.licenseBY-NC-ND
dc.identifier.fulltexthttp://nardus.mpn.gov.rs/bitstream/id/68383/Disertacija.pdf
dc.identifier.fulltexthttp://nardus.mpn.gov.rs/bitstream/id/68384/IzvestajKomisije.pdf


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