Largest Ideals in Leavitt Path Algebras

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dc.authoridCanto, Cristobal Gil/0000-0002-4975-1935
dc.authoridKanuni, Muge/0000-0001-7436-039X
dc.authorwosidCanto, Cristobal Gil/AAE-4884-2019
dc.authorwosidKanuni, Muge/N-3332-2017
dc.contributor.authorCam, Vural
dc.contributor.authorGil Canto, Cristobal
dc.contributor.authorKanuni, Muge
dc.contributor.authorSiles Molina, Mercedes
dc.date.accessioned2021-12-01T18:49:22Z
dc.date.available2021-12-01T18:49:22Z
dc.date.issued2020
dc.department[Belirlenecek]en_US
dc.description.abstractWe identify the largest ideals in Leavitt path algebras: the largest locally left/right artinian (which is the largest semisimple one), the largest locally left/right noetherian without minimal idempotents, the largest exchange, and the largest purely infinite. This last ideal is described as a direct sum of purely infinite simple pieces plus purely infinite non-simple and non-decomposable pieces. The invariance under ring isomorphisms of these ideals is also studied.en_US
dc.description.sponsorshipJunta de AndaluciaJunta de Andalucia [FQM-336]; Fondos FEDEREuropean Commission [FQM-336, MTM2016-76327-C3-1-P]; Spanish Ministerio de Economia y Competitividad [MTM2016-76327-C3-1-P]; Scientific and Technological Research Council of Turkey (TUBITAK-BIDEB) 2019-International Post-Doctoral Research FellowshipTurkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK)en_US
dc.description.sponsorshipThe Cristobal Gil Canto and Mercedes Siles Molina are supported by the Junta de Andalucia and Fondos FEDER, jointly, through project FQM-336. They are also supported by the Spanish Ministerio de Economia y Competitividad and Fondos FEDER, jointly, through project MTM2016-76327-C3-1-P.r The Vural Cam is supported by the Scientific and Technological Research Council of Turkey (TUBITAK-BIDEB) 2019-International Post-Doctoral Research Fellowship during his visit to Universidad de Malaga.en_US
dc.identifier.doi10.1007/s00009-020-1486-8
dc.identifier.issn1660-5446
dc.identifier.issn1660-5454
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85079825094en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1007/s00009-020-1486-8
dc.identifier.urihttps://hdl.handle.net/20.500.12684/10711
dc.identifier.volume17en_US
dc.identifier.wosWOS:000517611200006en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringer Basel Agen_US
dc.relation.ispartofMediterranean Journal Of Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectLeavitt path algebraen_US
dc.subjectsocleen_US
dc.subjectextreme cycleen_US
dc.subjectline pointen_US
dc.subjectpurely infinite idealen_US
dc.subjectCyclesen_US
dc.subjectSocleen_US
dc.titleLargest Ideals in Leavitt Path Algebrasen_US
dc.typeArticleen_US

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