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Aranda Pino, Gonzalo Brox López, José Ramón Siles Molina, Mercedes 2024-02-12T10:51:05Z 2024-02-12T10:51:05Z 2015 Forum Mathematicum, 2015, vol. 27, no. 1, p. 601-633. 0933-7741 https://uvadoc.uva.es/handle/10324/66156 10.1515/forum-2011-0134 601 1 633 Forum Mathematicum 27 1435-5337 Producción Científica We characterize, in terms of its idempotents, the Leavitt path algebras of an arbitrary graph that satisfies Condition (L) or Condition (NE). In the latter case, we also provide the structure of such algebras. Dual graph techniques are considered and demonstrated to be useful in the approach of the study of Leavitt path algebras of arbitrary graphs. A refining of the so-called Reduction Theorem is achieved and is used to prove that I(Pc(E)), the ideal of the vertices which are base of cycles without exits of the graph E, a construction with a clear parallelism to the socle, is a ring isomorphism invariant for arbitrary Leavitt path algebras. We also determine its structure in any case. Este trabajo forma parte de los proyectos de investigación: MEC-FEDER MTM2007-60333 y MTM2010-15223, y de los regionales FQM-336 y FQM-02467 de la Junta de Andalucía. application/pdf spa De Gruyter info:eu-repo/semantics/openAccess © 2015 by De Gruyter Matemáticas Álgebras de caminos de Leavitt, Álgebras de grafo, grafo dual 1201.05 Campos, Anillos, Álgebras Cycles in Leavitt path algebras by means of idempotents info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion https://www.degruyter.com/document/doi/10.1515/forum-2011-0134/html SI