{"?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-7MFJLA6O/a4de2624-ab91-4fe7-976a-470781349d1b/PDF","dcterms:extent":"383 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-7MFJLA6O/bd1d0840-f5ce-4c25-9b91-32c0ce2f3902/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-7MFJLA6O","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":["El Kaoutit, Laiachi","Saracco, Paolo"],"dc:format":[{"@xml:lang":"sl","#text":"letnik:16"},{"@xml:lang":"sl","#text":"številka:2"},{"@xml:lang":"sl","#text":"str. 319-329"}],"dc:identifier":["ISSN:1855-3966","COBISSID_HOST:18754905","URN:URN:NBN:SI:doc-7MFJLA6O"],"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":"adic topologies"},{"@xml:lang":"sl","#text":"adične topologije"},{"@xml:lang":"en","#text":"Hopf algebras"},{"@xml:lang":"sl","#text":"Hopfove algebre"},{"@xml:lang":"en","#text":"linearly recursive sequences"},{"@xml:lang":"sl","#text":"linearno rekurzivna zaporedja"},{"@xml:lang":"sl","#text":"potenčne vrste"},{"@xml:lang":"en","#text":"power series"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"Comparing topologies on linearly recursive sequences|"},"dc:description":[{"@xml:lang":"sl","#text":"The space of linearly recursive sequences of complex numbers admits two distinguished topologies. Namely, the adic topology induced by the ideal of those sequences whose first term is 0 and the topology induced from the Krull topology on the space of complex power series via a suitable embedding. We show that these topologies are not equivalent"},{"@xml:lang":"sl","#text":"Prostor linearno rekurzivnih zaporedij kompleksnih števil dopušča dve različni topologiji: adično topologijo, inducirano z idealom tisth zaporedij, katerih prvi člen je 0, in topologijo, inducirano s Krullovo topologijo na prostoru kompleksnih potenčnih vrst s pomočjo primerne vložitve. Pokažemo, da ti dve topologiji nista ekvivalentni"}],"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-7MFJLA6O","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-7MFJLA6O"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-7MFJLA6O/a4de2624-ab91-4fe7-976a-470781349d1b/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-7MFJLA6O/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-7MFJLA6O"}}}}