Cohn-Leavitt path algebras and the invariant basis number property

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dc.contributor.authorKanuni, Müge
dc.contributor.authorÖzaydın, Murad
dc.date.accessioned2020-04-30T22:40:58Z
dc.date.available2020-04-30T22:40:58Z
dc.date.issued2019
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.descriptionKanuni, Muge/0000-0001-7436-039Xen_US
dc.descriptionWOS: 000469079500007en_US
dc.description.abstractWe give the necessary and sufficient condition for a separated Cohn-Leavitt path algebra of a finite digraph to have Invariant Basis Number (IBN). As a consequence, separated Cohn path algebras have IBN. We determine the non-stable K-theory of a corner ring in terms of the non-stable K-theory of the ambient ring. We give a necessary condition for a corner algebra of a separated Cohn-Leavitt path algebra of a finite graph to have IBN. We provide Morita equivalent rings which are non-IBN, but are of different types.en_US
dc.description.sponsorshipDuzce University BAP [DUBAP-2016.05.04.462]en_US
dc.description.sponsorshipThe authors would like to thank the referee for a careful reading of the paper. This work is supported by Duzce University BAP grant number DUBAP-2016.05.04.462 titled "Leavitt, Cohn-Leavitt yol cebirlerinin ve C*-cizge cebirlerinin K-teorisi".en_US
dc.identifier.doi10.1142/S0219498819500865en_US
dc.identifier.issn0219-4988
dc.identifier.issn1793-6829
dc.identifier.issue5en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1142/S0219498819500865
dc.identifier.urihttps://hdl.handle.net/20.500.12684/3095
dc.identifier.volume18en_US
dc.identifier.wosWOS:000469079500007en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWorld Scientific Publ Co Pte Ltden_US
dc.relation.ispartofJournal Of Algebra And Its Applicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectCohn-Leavitt path algebraen_US
dc.subjectinvariant basis numberen_US
dc.subjectMorita equivalenceen_US
dc.titleCohn-Leavitt path algebras and the invariant basis number propertyen_US
dc.typeArticleen_US

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