Please use this identifier to cite or link to this item:
https://open.uns.ac.rs/handle/123456789/27713| DC Field | Value | Language |
|---|---|---|
| dc.contributor.advisor | Tepavčević Andreja | - |
| dc.contributor.author | Budimirović Branka V. | - |
| dc.contributor.other | Šešelja Branimir | - |
| dc.contributor.other | Tepavčević Andreja | - |
| dc.contributor.other | Ćirić Miroslav | - |
| dc.contributor.other | Bošnjak Ivica | - |
| dc.date.accessioned | 2020-12-13T22:19:12Z | - |
| dc.date.available | 2020-12-13T22:19:12Z | - |
| dc.date.issued | 2011-06-14 | - |
| dc.identifier.uri | https://open.uns.ac.rs/handle/123456789/27713 | - |
| dc.description.abstract | <p>Neka 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.</p> | sr |
| dc.description.abstract | <p>Let 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.</p> | en |
| dc.format.mimetype | application/pdf | - |
| dc.language.iso | sr (latin script) | - |
| dc.publisher | Univerzitet u Novom Sadu, Prirodno-matematički fakultet u Novom Sadu | sr |
| dc.publisher | University of Novi Sad, Faculty of Sciences at Novi Sad | en |
| dc.source | CRIS UNS | - |
| dc.source.uri | http://cris.uns.ac.rs | - |
| dc.subject | algebra, lattice, fuzzy subset, lattice valued algebra, fuzzy semigroup, fuzzy group, lattice valued identity, variety, fuzzy homomorphism | en |
| dc.subject | algebra, mreža, rasplinuti podskup, mrežno-vrednosna podalgebra, rasplinuta polugrupa, rasplinuta grupa, mrežnovrednosni identitet, varijetet, rasplinuti homomorfizam | sr |
| dc.title | Lattice-valued Identities and an Classes of Lattice-valued Subalgebras | en |
| dc.title | Mrežno vrednosni identiteti i neke klase mrežno vrednosnih podalgebri | sr |
| dc.type | Thesis | en |
| dc.identifier.url | https://www.cris.uns.ac.rs/DownloadFileServlet/Disertacijadisertacija.pdf?controlNumber=(BISIS)77334&fileName=disertacija.pdf&id=202&source=BEOPEN&language=en | en |
| dc.identifier.url | https://www.cris.uns.ac.rs/record.jsf?recordId=77334&source=BEOPEN&language=en | en |
| dc.identifier.externalcrisreference | (BISIS)77334 | - |
| dc.source.institution | Prirodno-matematički fakultet u Novom Sadu | sr |
| item.grantfulltext | none | - |
| item.fulltext | No Fulltext | - |
| Appears in Collections: | PMF Teze/Theses | |
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