A combinatorial discussion on finite dimensional Leavitt path algebras

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dc.contributor.authorKoç, Ayten
dc.contributor.authorEsin, Songül
dc.contributor.authorGüloğlu, İsmail Şuayip
dc.contributor.authorKanuni, Müge
dc.date.accessioned2020-04-30T22:38:37Z
dc.date.available2020-04-30T22:38:37Z
dc.date.issued2014
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.descriptionKanuni, Muge/0000-0001-7436-039X;en_US
dc.descriptionWOS: 000348691000006en_US
dc.description.abstractAny finite dimensional semisimple algebra A over a field K is isomorphic to a direct sum of finite dimensional full matrix rings over suitable division rings. We shall consider the direct sum of finite dimensional full matrix rings over a field K. All such finite dimensional semisimple algebras arise as finite dimensional Leavitt path algebras. For this specific finite dimensional semisimple algebra A over a field K, we define a uniquely determined specific graph - called a truncated tree associated with A - whose Leavitt path algebra is isomorphic to A. We define an algebraic invariant kappa(A) for A and count the number of isomorphism classes of Leavitt path algebras with the same fixed value of kappa(A). Moreover, we find the maximum and the minimum K-dimensions of the Leavitt path algebras. of possible trees with a given number of vertices and we also determine the number of distinct Leavitt path algebras of line graphs with a given number of vertices.en_US
dc.identifier.endpage951en_US
dc.identifier.issn1303-5010
dc.identifier.issue6en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage943en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12684/2313
dc.identifier.volume43en_US
dc.identifier.wosWOS:000348691000006en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherHacettepe Univ, Fac Scien_US
dc.relation.ispartofHacettepe Journal Of Mathematics And Statisticsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFinite dimensional semisimple algebraen_US
dc.subjectLeavitt path algebraen_US
dc.subjectTruncated treesen_US
dc.subjectLine graphsen_US
dc.titleA combinatorial discussion on finite dimensional Leavitt path algebrasen_US
dc.typeArticleen_US

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