Leavitt path algebras are Bézout

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作者
Gene Abrams
Francesca Mantese
Alberto Tonolo
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[1] University of Colorado,
[2] Università degli Studi di Verona,undefined
[3] Università degli Studi di Padova,undefined
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Let E be a directed graph, K any field, and let LK(E) denote the Leavitt path algebra of E with coefficients in K. We show that LK(E) is a Bézout ring, i.e., that every finitely generated one-sided ideal of LK(E) is principal.
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页码:53 / 78
页数:25
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