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2019/95/1-2 (11) — DOI: 10.5486/PMD.2019.8463 — pp. 169-185

An annihilator condition on Leavitt path algebras

Authors: Grzegorz Bajor and Michał Ziembowski

Abstract:

Let $E$ be a row-finite graph, and let $K$ be a field. In the present paper, necessary and sufficient conditions are established for $E$ to get the Leavitt path algebra $L_K(E)$ which satisfies Property (A).

Keywords: Leavitt path algebra, ring with Property (A)

Mathematics Subject Classification: 16D70, 16D25