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Koc, Ayten; Ozaydin, Murad
{ "DOI": "10.1515/forum-2016-0268", "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.", "author": [ { "family": "Koc", "given": " Ayten" }, { "family": "Ozaydin", "given": " Murad" } ], "container_title": "FORUM MATHEMATICUM", "id": "29625", "issue": "4", "issued": { "date-parts": [ [ 2018, 1, 1 ] ] }, "page": "915-928", "title": "Finite-dimensional representations of Leavitt path algebras", "type": "article-journal", "volume": "30" }
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