On intersections of two-sided ideals of Leavitt path algebras

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dc.contributor.authorEsin, Songül
dc.contributor.authorEr, Müge Kanuni
dc.contributor.authorRangaswamy, Kulumani M.
dc.date.accessioned2020-04-30T23:19:59Z
dc.date.available2020-04-30T23:19:59Z
dc.date.issued2017
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.descriptionKanuni, Muge/0000-0001-7436-039X; Rangaswamy, Kulumani/0000-0001-9362-9913en_US
dc.descriptionWOS: 000387191700005en_US
dc.description.abstractLet E be an arbitrary directed graph and let L be the Leavitt path algebra of the graph E over a field K. It is shown that every ideal of L is an intersection of primitive/prime ideals in L if and only if the graph E satisfies Condition (K). Uniqueness theorems in representing an ideal of L as an irredundant intersection and also as an irredundant product of finitely many prime ideals are established. Leavitt path algebras containing only finitely many prime ideals and those in which every ideal is prime are described. Powers of a single ideal I are considered and it is shown that the intersection boolean AND(infinity)(n=1) I-n is the largest graded ideal of L contained in I. This leads to an analogue of Krull's theorem for Leavitt path algebras. (C) 2016 Elsevier B.V. All rights reserved.en_US
dc.identifier.doi10.1016/j.jpaa.2016.07.009en_US
dc.identifier.endpage644en_US
dc.identifier.issn0022-4049
dc.identifier.issn1873-1376
dc.identifier.issue3en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage632en_US
dc.identifier.urihttps://doi.org/10.1016/j.jpaa.2016.07.009
dc.identifier.urihttps://hdl.handle.net/20.500.12684/3901
dc.identifier.volume221en_US
dc.identifier.wosWOS:000387191700005en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevier Science Bven_US
dc.relation.ispartofJournal Of Pure And Applied Algebraen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.titleOn intersections of two-sided ideals of Leavitt path algebrasen_US
dc.typeArticleen_US

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