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- W2917241990 abstract "In this paper, we provide the structure of the Leavitt path algebra of a finite graph via some step-by-step process of source eliminations, and restate Kanuni and Özaydin's nice criterion for Leavitt path algebras of finite graphs having Invariant Basis Number via matrix-theoretic language. Consequently, we give a matrix-theoretic criterion for the Leavitt path algebra of a finite graph having Invariant Basis Number in terms of a sequence of source eliminations. Using these results, we show certain classes of finite graphs for which Leavitt path algebras have Invariant Basis Number, as well as investigate the Invariant Basis Number property of Leavitt path algebras of certain Cayley graphs of finite groups." @default.
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- W2917241990 date "2019-11-01" @default.
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- W2917241990 title "The structure of Leavitt path algebras and the Invariant Basis Number property" @default.
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- W2917241990 doi "https://doi.org/10.1016/j.jpaa.2019.02.017" @default.
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