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Koc, Ayten; Ozaydin, Murad
<?xml version='1.0' encoding='utf-8'?> <resource xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://datacite.org/schema/kernel-4" xsi:schemaLocation="http://datacite.org/schema/kernel-4 http://schema.datacite.org/meta/kernel-4.1/metadata.xsd"> <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/29625</identifier> <creators> <creator> <creatorName>Koc, Ayten</creatorName> <givenName>Ayten</givenName> <familyName>Koc</familyName> <affiliation>Istanbul Kultur Univ, Dept Math & Comp Sci, Atakoy Campus, Istanbul, Turkey</affiliation> </creator> <creator> <creatorName>Ozaydin, Murad</creatorName> <givenName>Murad</givenName> <familyName>Ozaydin</familyName> <affiliation>Univ Oklahoma, Dept Math, Norman, OK 73019 USA</affiliation> </creator> </creators> <titles> <title>Finite-Dimensional Representations Of Leavitt Path Algebras</title> </titles> <publisher>Aperta</publisher> <publicationYear>2018</publicationYear> <dates> <date dateType="Issued">2018-01-01</date> </dates> <resourceType resourceTypeGeneral="Text">Journal article</resourceType> <alternateIdentifiers> <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/29625</alternateIdentifier> </alternateIdentifiers> <relatedIdentifiers> <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.1515/forum-2016-0268</relatedIdentifier> </relatedIdentifiers> <rightsList> <rights rightsURI="http://www.opendefinition.org/licenses/cc-by">Creative Commons Attribution</rights> <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights> </rightsList> <descriptions> <description descriptionType="Abstract">When Gamma is a row-finite digraph, we classify all finite-dimensional modules of the Leavitt path algebra L(Gamma) via an explicit Morita equivalence given by an effective combinatorial (reduction) algorithm on the digraph Gamma. The category of (unital) L(Gamma)-modules is equivalent to a full subcategory of quiver representations of Gamma. However, the category of finite-dimensional representations of L(Gamma) is tame in contrast to the finite-dimensional quiver representations of G, which are almost always wild.</description> </descriptions> </resource>
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