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O polinomima u algebrama Maljceva

dc.contributor.advisorMašulović, Dragan
dc.contributor.advisorAichinger, Erhard
dc.contributor.otherCrvenković, Siniša
dc.contributor.otherAichinger, Erhard
dc.contributor.otherMadarász-Szilágyi, Rozália
dc.contributor.otherMarković, Petar
dc.contributor.otherMašulović, Dragan
dc.creatorMudrinski, Nebojša
dc.date.accessioned2016-05-28T14:47:27Z
dc.date.available2016-05-28T14:47:27Z
dc.date.available2020-07-03T13:45:22Z
dc.date.issued2009-09-30
dc.identifier.urihttp://www.cris.uns.ac.rs/DownloadFileServlet/DisertacijaMudrinski%20Nebojsa%20teza.pdf?controlNumber=(BISIS)6015&fileName=Mudrinski%20Nebojsa%20teza.pdf&id=967&source=NaRDuS&language=srsr
dc.identifier.urihttp://nardus.mpn.gov.rs/handle/123456789/5406
dc.identifier.urihttp://www.cris.uns.ac.rs/record.jsf?recordId=6015&source=NaRDuS&language=srsr
dc.description.abstractWe establish several properties of higher commutators, which were introduced by A. Bulatov, in congruence permutable varieties. We use these commutators to prove that the clone of polynomial functions of a finite Mal’cev algebra whose congruence lattice is of height at most 2, can be described by a finite set of relations. For a finite nilpotent algebra of finite type that is a product of algebras of prime power order and generates congruence modular variety, we are able to show that the property of affine completeness is decidable. Moreover, polynomial equivalence problem has polynomial complexity in the length of the input polynomials.sr
dc.description.abstractUstanovljavamo osobine viˇsih komutatora, koje je uveo A. Bulatov, u kongruencijki permutabilnim varijetetima. Te komutatore koristimo da bi dokazali da se klon polinomijalnih funkcija konaˇcne Maljcevljeve algebre ˇcija je mreˇza kongruencija visine najviˇse dva moˇze opisati konaˇcnim skupom relacija. Za konaˇcne nilpotentne algebre konaˇcnog tipa koje su proizvod algebri koje imaju red stepena prostog broja i koje generiˇsu kongruencijki modularan varijetet pokazu-jemo da je osobina afine kompletnosti odluˇciva. Takod¯e, pokazujemo za istu klasu da problem polinomijalne ekvivalencije ima polinomnu sloˇzenost u zavisnosti od duˇzine unetih polinomijalnih terma.sr
dc.languagesr (latin script)
dc.publisherУниверзитет у Новом Саду, Природно-математички факултетsr
dc.rightsopenAccessen
dc.sourceУниверзитет у Новом Садуsr
dc.subjectPolynomialssr
dc.subjectPolinomisr
dc.subjectklonovisr
dc.subjectMaljcevljeve algebresr
dc.subjectkomutatorisr
dc.subjectclonessr
dc.subjectMal’cev algebrasr
dc.subjectcommutatorssr
dc.titleOn Polynomials in Mal’cev Algebrassr
dc.titleO polinomima u algebrama Maljcevasr
dc.typedoctoralThesissr
dc.rights.licenseCC0
dcterms.abstractМашуловић, Драган; Aицхингер, Ерхард; Марковић, Петар; Црвенковић, Синиша; Aицхингер, Ерхард; Машуловић, Драган; Мадарáсз-Сзилáгyи, Розáлиа; Мудрински, Небојша; О полиномима у алгебрама Маљцева; О полиномима у алгебрама Маљцева;
dc.identifier.fulltexthttp://nardus.mpn.gov.rs/bitstream/id/38678/Disertacija2651.pdf


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