{"?xml":{"@version":"1.0"},"edm:RDF":{"@xmlns:dc":"http://purl.org/dc/elements/1.1/","@xmlns:edm":"http://www.europeana.eu/schemas/edm/","@xmlns:wgs84_pos":"http://www.w3.org/2003/01/geo/wgs84_pos","@xmlns:foaf":"http://xmlns.com/foaf/0.1/","@xmlns:rdaGr2":"http://rdvocab.info/ElementsGr2","@xmlns:oai":"http://www.openarchives.org/OAI/2.0/","@xmlns:owl":"http://www.w3.org/2002/07/owl#","@xmlns:rdf":"http://www.w3.org/1999/02/22-rdf-syntax-ns#","@xmlns:ore":"http://www.openarchives.org/ore/terms/","@xmlns:skos":"http://www.w3.org/2004/02/skos/core#","@xmlns:dcterms":"http://purl.org/dc/terms/","edm:WebResource":[{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-4AW6KVB6/5629de4a-7cd3-474f-ae24-eb015a60d6e0/PDF","dcterms:extent":"378 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-4AW6KVB6/d926e747-002e-4ad7-a3d1-35d5d0ed3f72/TEXT","dcterms:extent":"40 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-4AW6KVB6/34d4c7eb-c3ab-4740-97b3-7f8321f44cb7/PDF","dcterms:extent":"95 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-4AW6KVB6/ed5d329b-2a4c-445c-8215-c5a644ac1227/TEXT","dcterms:extent":"2 KB"}],"edm:TimeSpan":{"@rdf:about":"2008-2026","edm:begin":{"@xml:lang":"en","#text":"2008"},"edm:end":{"@xml:lang":"en","#text":"2026"}},"edm:ProvidedCHO":{"@rdf:about":"URN:NBN:SI:doc-4AW6KVB6","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2026","dc:creator":["Lages, António","Lopes, Pedro"],"dc:format":[{"@xml:lang":"sl","#text":"letnik:26"},{"@xml:lang":"sl","#text":"številka:4, article  p4.05"},{"@xml:lang":"sl","#text":"str. 1-16"}],"dc:identifier":["DOI:10.26493/1855-3974.3529.4e5","ISSN:1855-3974","COBISSID_HOST:294198531","URN:URN:NBN:SI:doc-4AW6KVB6"],"dc:language":"en","dc:publisher":{"@xml:lang":"sl","#text":"Univerza na Primorskem"},"dc:subject":[{"@xml:lang":"sl","#text":"cikli"},{"@xml:lang":"en","#text":"cycles"},{"@xml:lang":"sl","#text":"desne translacije"},{"@xml:lang":"sl","#text":"Hayashijeva domneva"},{"@xml:lang":"en","#text":"Hayashi's conjecture"},{"@xml:lang":"sl","#text":"kvandla"},{"@xml:lang":"en","#text":"profiles"},{"@xml:lang":"sl","#text":"profili"},{"@xml:lang":"en","#text":"quandles"},{"@xml:lang":"en","#text":"right translations"}],"dcterms:temporal":{"@rdf:resource":"2008-2026"},"dc:title":{"@xml:lang":"sl","#text":"On a conjecture by Hayashi on finite connected quandles|"},"dc:description":[{"@xml:lang":"sl","#text":"A quandle is an algebraic structure whose binary operation is idempotent, right-invertible and right self-distributive. Right-invertibility ensures right translations are permutations and right self-distributivity ensures further they are automorphisms. For finite connected quandles, all right translations have the same cycle structure, called the profile of the connected quandle. Hayashi conjectured that the longest length in the profile of a finite connected quandle is a multiple of the remaining lengths. We prove that this conjecture is true for profiles with at most five lengths"},{"@xml:lang":"sl","#text":"Kvandel je algebraična struktura, katere binarna operacija je idempotentna, desno obrnljiva in desno samodistributivna. Desna obrnljivost zagotavlja, da so desne translacije permutacije, desna samodistributivnost pa dodatno zagotavlja, da so avtomorfizmi. Pri končnih povezanih kvandlih imajo vse desne translacije enako ciklično strukturo, ki jo imenujemo profil povezanega kvandla. Hayashi je postavil domnevo, da je največja dolžina cikla v profilu končnega povezanega kvandla večkratnik vseh preostalih dolžin. Dokažemo, da ta domneva velja za profile z največ petimi različnimi dolžinami"}],"edm:type":"TEXT","dc:type":[{"@xml:lang":"sl","#text":"znanstveno časopisje"},{"@xml:lang":"en","#text":"journals"},{"@rdf:resource":"http://www.wikidata.org/entity/Q361785"}]},"ore:Aggregation":{"@rdf:about":"http://www.dlib.si/?URN=URN:NBN:SI:doc-4AW6KVB6","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-4AW6KVB6"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-4AW6KVB6/5629de4a-7cd3-474f-ae24-eb015a60d6e0/PDF"},"edm:rights":{"@rdf:resource":"http://creativecommons.org/licenses/by/4.0/"},"edm:provider":"Slovenian National E-content Aggregator","edm:intermediateProvider":{"@xml:lang":"en","#text":"National and University Library of Slovenia"},"edm:dataProvider":{"@xml:lang":"sl","#text":"Univerza na Primorskem, Fakulteta za naravoslovje, matematiko in informacijske tehnologije"},"edm:object":{"@rdf:resource":"http://www.dlib.si/streamdb/URN:NBN:SI:doc-4AW6KVB6/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-4AW6KVB6"}}}}