<p>Ova teza se bavi ¤-kvazilinearnim varijetetima grupoida. Pokazano je da postoji ta·cno dvadeset osam idempotentnih ¤-kvazilinearnih varijeteta grupoida, od kojih dvadeset ·sest varijeteta imaju kona·cnu bazu i te baze su i navedene, dok preostala dva varijeteta imaju inherentno beskona·cnu bazu. U tezi je opisano ured enje svih idempotentnih ¤-kvazilinearnih varijeteta grupoida i nalazimo male grupoide koji generi·su svaki od navedenih varijeteta. Na kraju je pokazano da postoji kontinum mnogo ¤-kvazilinearnih variejeteta grupoida.</p> / <p>The topic of this thesis are ¤-quasilinear varieties of groupoids.<br />We show that there exist exactly twenty-eight idempotent ¤-quasilinear varieties of groupoids, twenty-six of which are ¯nitely based (and we explicitly<br />give ¯nite bases for each of them), while two are inherently non¯nitely based.<br />We describe the ordering of these twenty-eight idempotent ¤-quasilinear varieties of groupoids and ¯nd small generating algebras for each of them. In<br />the end we show that there exist continuum many ¤-quasilinear varieties of<br />groupoids, not all of which are even locally ¯nite.</p>
| Identifer | oai:union.ndltd.org:uns.ac.rs/oai:CRISUNS:(BISIS)73379 |
| Date | 30 December 2008 |
| Creators | Đapić Petar |
| Contributors | Marković Petar, Crvenković Siniša, Madaras-Silađi Rozalija, Dolinka Igor, Ćirić Miroslav |
| Publisher | Univerzitet u Novom Sadu, Prirodno-matematički fakultet u Novom Sadu, University of Novi Sad, Faculty of Sciences at Novi Sad |
| Source Sets | University of Novi Sad |
| Language | Serbian |
| Detected Language | English |
| Type | PhD thesis |
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