Chain conditions for Leavitt path algebras

Gene Abrams, Gonzalo Aranda Pino, Francesc Perera, Mercedes Siles Molina

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Resum

In this paper we give necessary and sufficient conditions on a row-finite graph E so that the corresponding (not necessarily unital) Leavitt path K-algebra LK(E) is either artinian or noetherian from both a local and a categorical perspective. These extend the known results in the unital case to a much wider context. Besides the graph theoretic conditions, we provide in both situations isomorphisms between these algebras and appropriate direct sums of matrix rings over K or Kx, x1. © 2010 de Gruyter.
Idioma originalEnglish
Pàgines (de-a)95-114
RevistaForum Mathematicum
Volum22
DOIs
Estat de la publicacióPublicada - 1 de gen. 2010

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