Please use this identifier to cite or link to this item:
https://open.uns.ac.rs/handle/123456789/26332
DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | Mašulović Dragan | - |
dc.contributor.advisor | Aichinger Erhard | - |
dc.contributor.author | Mudrinski Nebojša | - |
dc.contributor.other | Crvenković Siniša | - |
dc.contributor.other | Madarász-Szilágyi Rozália | - |
dc.contributor.other | Marković Petar | - |
dc.contributor.other | Aichinger Erhard | - |
dc.contributor.other | Mašulović Dragan | - |
dc.date.accessioned | 2020-12-13T20:36:48Z | - |
dc.date.available | 2020-12-13T20:36:48Z | - |
dc.date.issued | 2009-09-30 | - |
dc.identifier.uri | https://open.uns.ac.rs/handle/123456789/26332 | - |
dc.description.abstract | <p>We establish several properties of higher commutators, which were<br />introduced by A. Bulatov, in congruence permutable varieties. We use these<br />commutators to prove that the clone of polynomial functions of a finite Mal’cev<br />algebra whose congruence lattice is of height at most 2, can be described by a<br />finite set of relations. For a finite nilpotent algebra of finite type that is a product<br />of algebras of prime power order and generates congruence modular variety, we<br />are able to show that the property of affine completeness is decidable. Moreover,<br />polynomial equivalence problem has polynomial complexity in the length of the<br />input polynomials.</p> | en |
dc.description.abstract | <p>Ustanovljavamo osobine viˇsih komutatora, koje je uveo A. Bulatov,<br />u kongruencijki permutabilnim varijetetima. Te komutatore koristimo da bi<br />dokazali da se klon polinomijalnih funkcija konaˇcne Maljcevljeve algebre ˇcija je<br />mreˇza kongruencija visine najviˇse dva moˇze opisati konaˇcnim skupom relacija. Za<br />konaˇcne nilpotentne algebre konaˇcnog tipa koje su proizvod algebri koje imaju red<br />stepena prostog broja i koje generiˇsu kongruencijki modularan varijetet pokazu-jemo da je osobina afine kompletnosti odluˇciva. Takod¯e, pokazujemo za istu klasu<br />da problem polinomijalne ekvivalencije ima polinomnu sloˇzenost u zavisnosti od<br />duˇzine unetih polinomijalnih terma.</p> | sr |
dc.language.iso | en | - |
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 | Polynomials, clones, Mal’cev algebra, commutators | en |
dc.subject | Polinomi, klonovi, Maljcevljeve algebre, komutatori | sr |
dc.title | On Polynomials in Mal’cev Algebras | en |
dc.title | O polinomima u algebrama Maljceva | sr |
dc.type | Thesis | en |
dc.identifier.doi | 10.2298/NS20090930MUDRINSKI | - |
dc.identifier.url | https://www.cris.uns.ac.rs/DownloadFileServlet/DisertacijaMudrinski%20Nebojsa%20teza.pdf?controlNumber=(BISIS)6015&fileName=Mudrinski%20Nebojsa%20teza.pdf&id=967&source=BEOPEN&language=en | en |
dc.identifier.url | https://www.cris.uns.ac.rs/record.jsf?recordId=6015&source=BEOPEN&language=en | en |
dc.identifier.externalcrisreference | (BISIS)6015 | - |
dc.source.institution | Prirodno-matematički fakultet u Novom Sadu | sr |
item.grantfulltext | none | - |
item.fulltext | No Fulltext | - |
crisitem.author.dept | Prirodno-matematički fakultet, Departman za matematiku i informatiku | - |
crisitem.author.orcid | 0000-0001-9830-6603 | - |
crisitem.author.parentorg | Prirodno-matematički fakultet | - |
Appears in Collections: | PMF Teze/Theses |
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