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Leavitt path algebras are Bézout
Published 26 May 2016 in math.RA | (1605.08317v1)
Abstract: Let $E$ be a directed graph, $K$ any field, and let $L_K(E)$ denote the Leavitt path algebra of $E$ with coefficients in $K$. We show that $L_K(E)$ is a B\'{e}zout ring, i.e., that every finitely generated one-sided ideal of $L_K(E)$ is principal.
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