{"?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-VGGTJF7H/508e538c-bf8c-4492-84be-15c072161713/PDF","dcterms:extent":"349 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-VGGTJF7H/fcaacec1-51c9-473f-b8fb-c631efb1d83c/TEXT","dcterms:extent":"53 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-VGGTJF7H","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":["Vodička, Martin","Zlatoš, Pavol"],"dc:format":[{"@xml:lang":"sl","#text":"letnik:17"},{"@xml:lang":"sl","#text":"številka:2"},{"@xml:lang":"sl","#text":"str. 535-554"}],"dc:identifier":["ISSN:1855-3966","COBISSID_HOST:18964057","URN:URN:NBN:SI:doc-VGGTJF7H"],"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":"2-factorizations"},{"@xml:lang":"en","#text":"finite embeddability property"},{"@xml:lang":"en","#text":"group"},{"@xml:lang":"sl","#text":"grupa"},{"@xml:lang":"en","#text":"IP loop"},{"@xml:lang":"sl","#text":"IP zanka"},{"@xml:lang":"sl","#text":"končna vložitvena lastnost"},{"@xml:lang":"en","#text":"local embeddability"},{"@xml:lang":"sl","#text":"lokalna vložljivost"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"The finite embeddability property for IP loops and local embeddability of groups into finite IP loops|"},"dc:description":[{"@xml:lang":"sl","#text":"We prove that the class of all loops with the inverse property (IP loops) has the Finite Embeddability Property (FEP). As a consequence, every group is locally embeddable into finite IP loops. The first one of these results is obtained as a consequence of a more general embeddability theorem, contributing to a list of problems posed by T. Evans in 1978, namely, that every finite partial IP loop can be embedded into a finite IP loop"},{"@xml:lang":"sl","#text":"Dokažemo, da ima razred vseh zank z inverzno lastnostjo (IP zank) končno vložitveno lastnost (FEP). Posledicno dokažemo, da je vsaka grupa lokalno vložljiva v končne IP zanke. Prvi od teh rezultatov je dobljen kot posledica splošnejšega vložitvenega izreka in predstavlja korak k rešitvi večih problemov, ki jih je zastavil T. Evans leta 1978, namreč, da je mogoče vsako končno delno IP zanko vložiti v končno IP zanko"}],"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-VGGTJF7H","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-VGGTJF7H"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-VGGTJF7H/508e538c-bf8c-4492-84be-15c072161713/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-VGGTJF7H/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-VGGTJF7H"}}}}