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https://open.uns.ac.rs/handle/123456789/27417| Title: | Varijeteti grupoida | Authors: | Đapić Petar | Keywords: | base, groupoid, ¤-linear equational theories, nlinear equational theories, ¤-quasilinear equational theories, n-quasilinearequational theories, linear terms, regular identity;baze, grupoid, ¤-linearne jednakosne teorije, n-linearne jednakosne teorije, ¤-kvazilinearne jednakosne teorije, n-kvazilinearne jednakosne teorije, linearni termi, regularni identiteti | Issue Date: | 30-Dec-2008 | Publisher: | Univerzitet u Novom Sadu, Prirodno-matematički fakultet u Novom Sadu University of Novi Sad, Faculty of Sciences at Novi Sad |
Abstract: | <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> |
URI: | https://open.uns.ac.rs/handle/123456789/27417 |
| Appears in Collections: | PMF Teze/Theses |
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