{"?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-X3B3Z3SZ/ce453e24-928e-4396-a371-4252c1996e4e/PDF","dcterms:extent":"367 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:DOC-X3B3Z3SZ/8d1abaff-dc3e-4da3-b006-d08529c607b9/TEXT","dcterms:extent":"46 KB"}],"edm:TimeSpan":{"@rdf:about":"2008-2025","edm:begin":{"@xml:lang":"en","#text":"2008"},"edm:end":{"@xml:lang":"en","#text":"2025"}},"edm:ProvidedCHO":{"@rdf:about":"URN:NBN:SI:DOC-X3B3Z3SZ","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2019","dc:creator":["Hu, Kan","Wang, Naer","Yuan, Kai","Zhang, Jun-Yang"],"dc:format":[{"@xml:lang":"sl","#text":"letnik:16"},{"@xml:lang":"sl","#text":"številka:2"},{"@xml:lang":"sl","#text":"str. 527-547"}],"dc:identifier":["ISSN:1855-3966","COBISSID_HOST:18811481","URN:URN:NBN:SI:doc-X3B3Z3SZ"],"dc:language":"en","dc:publisher":{"@xml:lang":"sl","#text":"Univerza na Primorskem, Fakulteta za matematiko, naravoslovje in informacijske tehnologije"},"dc:subject":[{"@xml:lang":"en","#text":"Cayley map"},{"@xml:lang":"sl","#text":"Cayleyjev zemljevid"},{"@xml:lang":"en","#text":"connected dominating set"},{"@xml:lang":"sl","#text":"gladka podgrupa"},{"@xml:lang":"sl","#text":"poševni morfizem"},{"@xml:lang":"en","#text":"skew morphism"},{"@xml:lang":"en","#text":"smooth subgroup"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"Smooth skew morphisms of the dihedral groups|"},"dc:description":[{"@xml:lang":"sl","#text":"A skew morphism ?$\\varphi$? of a finite group ?$A$? is a permutation on ?$A$? fixing the identity element of ?$A$? and for which there exists an integer-valued function ?$\\pi$? on ?$A$? such that ?$\\varphi(ab) = \\varphi(a)\\varphi^{\\pi(a)}(b)$? for all ?$a, b \\in A$?. In the case where ?$\\pi(\\varphi(a)) = \\pi(a)$?, for all ?$a \\in A$?, the skew morphism is smooth. The concept of smooth skew morphism is a generalization of that of ?$t$?-balanced skew morphism. The aim of this paper is to develop a general theory of smooth skew morphisms. As an application we classify smooth skew morphisms of dihedral groups"},{"@xml:lang":"sl","#text":"Poševni morfizem ?$\\varphi$? končne grupe ?$A$? je permutacija elementov grupe ?$A$?, ki fiksira enotski element grupe ?$A$? in za katero obstaja taka celoštevilska funkcija ?$\\pi$? na ?$A$?, da je ?$\\varphi(ab) = \\varphi(a)\\varphi^{\\pi(a)}(b)$? za vse ?$a \\in A$?. Poševni morfizem je gladek, če za vse ?$a \\in A$? velja ?$\\pi(\\varphi(a)) = \\pi(a)$?. Pojem gladkega poševnega morfizma je posplošitev pojma ?$t$?-uravnoteženega poševnega morfizma. Cilj tega članka je razviti splošno teorijo gladkih poševnih morfizmov. Kot primer uporabe te teorije klasificiramo gladke poševne morfizme diedrskih grup"}],"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-X3B3Z3SZ","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:DOC-X3B3Z3SZ"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:DOC-X3B3Z3SZ/ce453e24-928e-4396-a371-4252c1996e4e/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-X3B3Z3SZ/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:DOC-X3B3Z3SZ"}}}}