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 Bézout ring, i.e., that every finitely generated one-sided ideal of L_K(E) is principal.
Leavitt path algebras are Bézout
Tonolo, Alberto
2018
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 Bézout ring, i.e., that every finitely generated one-sided ideal of L_K(E) is principal.File in questo prodotto:
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