{"?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-YOAYKNLX/DFD7AD61-3E4A-4F5A-8687-AE62A0808955/PDF","dcterms:extent":"0 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-YOAYKNLX/895f1aaf-6618-4e2b-8ba0-21c97645fee5/PDF","dcterms:extent":"167 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-YOAYKNLX/d653b293-6a62-4beb-8e86-ac46593f8d2d/TEXT","dcterms:extent":"26 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-YOAYKNLX","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2010","dc:creator":["Omladič, Matjaž","Radjavi, Heydar"],"dc:format":[{"@xml:lang":"sl","#text":"številka:1"},{"@xml:lang":"sl","#text":"letnik:3"},{"@xml:lang":"sl","#text":"str. 99-108"}],"dc:identifier":["COBISSID:15563865","ISSN:1855-3966","URN:URN:NBN:SI:doc-YOAYKNLX"],"dc:language":"en","dc:publisher":{"@xml:lang":"sl","#text":"Društvo matematikov, fizikov in astronomov Slovenije"},"dc:subject":[{"@xml:lang":"sl","#text":"linearna algebra"},{"@xml:lang":"sl","#text":"matematika"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"Reducibility of semigroups and nilpotent commutators with idempotents of rank two|"},"dc:description":[{"@xml:lang":"sl","#text":"Let ?$f$? be a noncommutative polynomial in two variables. Let ?$\\mathcal{S}$? be a multiplicative semigroup of linear operators on a finite-dimensional vectorspace and ?$T$? a fixed linear operator such that ?$f(T, S)$? is nilpotent for all ?$S$? in ?$\\mathcal{S}$?. In H. Radjavi, M. Omladič, Nilpotent commutators and reducibility of semigroups, Lin. and Multilin. Alg. 57 (2009), 307-317 the authors proposed questions, what one can say about the invariant subspace structure of ?$\\mathcal{S}$? under this and other related conditions. In particular, they study the question under the condition that ?$S, T^2 = 0$?, where ?$T$? is a given idempotent of rank one. In this paper we extend some of the results given there to the case that ?$T$? is a given idempotent of rank two"},{"@xml:lang":"sl","#text":"Naj bo ?$f$? nekomutativni polinom v dveh spremenljivkah. Naj bo ?$\\mathcal{S}$? multiplikativna polgrupa linearnih operatorjev na končnorazsežnem vektorkskem prostoru in ?$T$? tak linearen operator, da je ?$f(T, S)$? nilpotenten za vsak ?$S$? v ?$\\mathcal{S}$?. V članku H. Radjavi, M. Omladič, Nilpotent commutators and reducibility of semigroups, Lin. and Multilin. Alg. 57 (2009), 307-317 sta avtorja zastavila vprašanje, kaj lahko povemo o strukturi invariantnih podprostorov polgrupe ?$\\mathcal{S}$? pod tem in nekaterimi sorodnimi pogoji. V posebnem sta študirala vprašanje pod pogojem, da je ?$S, T^2 = 0$?, kjer je ?$T$? dan idempotent ranga ena. V članku posplošimo ta rezultat na primer, koje ?$T$? idempotent ranga dva"}],"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-YOAYKNLX","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-YOAYKNLX"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-YOAYKNLX/DFD7AD61-3E4A-4F5A-8687-AE62A0808955/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-YOAYKNLX/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-YOAYKNLX"}}}}