{"?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-D6L0FD24/c027af68-79be-4e79-9cdd-5320a829a52e/PDF","dcterms:extent":"273 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-D6L0FD24/13043c92-4d42-4656-aeac-3b42d3b32c54/TEXT","dcterms:extent":"25 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-D6L0FD24","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2020","dc:creator":["Cai, Tommy Wuxing","Chen, Yue","Mu, Lili"],"dc:format":[{"@xml:lang":"sl","#text":"letnik:19"},{"@xml:lang":"sl","#text":"številka:2"},{"@xml:lang":"sl","#text":"str. 351-362"}],"dc:identifier":["ISSN:1855-3974","COBISSID_HOST:44984067","URN:URN:NBN:SI:doc-D6L0FD24"],"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":"hyperplane arrangement"},{"@xml:lang":"sl","#text":"sestav hiperravnin"},{"@xml:lang":"en","#text":"Smith normal form"},{"@xml:lang":"sl","#text":"Smithova normalna oblika"},{"@xml:lang":"en","#text":"Varchenko matrix"},{"@xml:lang":"sl","#text":"Varchenkova matrika"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"On the Smith normal form of Varchenko matrix|"},"dc:description":[{"@xml:lang":"sl","#text":"Let ?$\\mathcal{A}$? be a hyperplane arrangement in ?$\\mathbb{A}$? isomorphic to ?$\\mathbb{R}^n$?. Let ?$\\mathbb{R}^n$? be the ?$q$?-Varchenko matrix for the arrangement ?$\\mathcal{A}$? with all hyperplane parameters equal to ?$q$?. In this paper, we consider three interesting cases of ?$q$?-Varchenko matrices associated to hyperplane arrangements. We show that they have a Smith normal form over ?$\\mathcal{Z}q$?"},{"@xml:lang":"sl","#text":"Naj bo ?$\\mathcal{A}$? sestav hiperravnin v prostoru ?$\\mathbb{A}$? izomorfnem ?$\\mathbb{R}^n$?. Naj bo ?$\\mathbb{R}^n$? ?$q$?-Varchenkova matrika za sestav ?$\\mathcal{A}$?, ki ima vse hiperravninske parametre enake ?$q$?. V članku obravnavamo tri zanimive primere ?$q$?-Varchenkovih matrik, pridruženih sestavom hiperravnin. Dokažemo, da imajo Smithovo normalno obliko nad ?$\\mathcal{Z}q$?"}],"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-D6L0FD24","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-D6L0FD24"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-D6L0FD24/c027af68-79be-4e79-9cdd-5320a829a52e/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-D6L0FD24/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-D6L0FD24"}}}}