370 citations
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Showing 2009 · math.RAShow all
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math.RA2009★ 1 cited
The matrix type of purely infinite simple Leavitt path algebras
Gene Abrams, Christopher Smith
Let denote the purely infinite simple unital Leavitt path algebra . We completely determine the pairs of positive integers for which there is an isomorphism of ma…
math.RA2009★ 1 cited
The socle series of a Leavitt path algebra
Gene Abrams, Kulumani M. Rangaswamy, Mercedes Siles Molina
We investigate the ascending Loewy socle series of Leavitt path algebras for an arbitrary graph and field . We classify those graphs for which for…