Locally finite Leavitt path algebras

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Chain conditions for Leavitt path algebras (2009, methodology): “The notion of Cn-comet was introduced in [5] to describe the locally finite Leavitt path algebras.”
Uniqueness theorems and ideal structure for Leavitt path algebras (2006, background): “Abrams and Aranda-Pino established basic properties of these Leavitt path algebras, and soon after there was a flurry of activity as many other authors [2, 3, 4, 5, 6, 7, 8] investigated their structure and found applications to various topics in algebra.”
Socle theory for Leavitt path algebras of arbitrary graphs (2008, background): “In addition, several other ring properties were studied in the case of row-finite L eavitt path algebras, such as being exchange [10], finite dimensional [5], noetherian [ 6 ] , semisimple [4] or having stable rank [10, 8]. It has been also shown that the Leavitt path algebra LK(E) of a graph E and ”
The socle of a Leavitt path algebra (2007, background): “…in terms of the graph nature of E. Concretely, necessary and sufficient conditions on a graph E have been given so that the corresponding Leavitt path algebra LK(E) is simple [1], purely infinite simple [2], exchange [7], finite dimensional [3], and locally finite (equivalently noetherian) [4].”