20.500.12556/RUL-183922 Kiselmanova polgrupa Kiselman's semigroup Kiselmanova polgrupa je pomemben algebraični in kombinatorični objekt. V tem delu predstavimo najpomembnejše rezultate o Kiselmanovi polgrupi, kot so dokaz končnosti, predstavitev kanonične oblike elementov, rezultati o idempotentih, obravnava linearnih upodobitev in opis avtomorfizmov in maksimalnih nilpotentnih podpolgrup. Nadalje raziščemo strukturo monoida endomorfizmov in dokažemo rezultate, ki se navezujejo na asimptotično vedenje kardinalnosti Kiselmanovih polgrup. Kiselman's semigroup is an important algebraic and combinatorial object. In this work, we present the most significant results about Kiselman's semigroup, such as the proof of finiteness, the canonical form of elements, results on idempotents, linear representations, automorphisms, and maximal nilpotent subsemigroups. Furthermore, we investigate the structure of the endomorphism monoid and prove results related to the asymptotic behavior of the cardinality of Kiselman's semigroups. Kiselmanova polgrupa endomorfizem asimptotika Kiselman's semigroup endomorphism asymptotics true false false Slovenski jezik Angleški jezik Diplomsko delo/naloga 2026-06-21 08:15:08 2026-06-21 08:15:14 2026-06-22 10:19:23 0000-00-00 00:00:00 2026 0 0 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 512 160491 282393859 21851.pdf 21851.pdf 1 CBBE204E3062249C5D7C5EEC2EECEA30 79b21a1d11b5a42dda616bdcc55bb71de353a2713be5f061a7f8dc011c8355ac 81f1d091-6d38-11f1-9b0d-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=236234 Fakulteta za matematiko in fiziko 0 0 0