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oai:uvadoc.uva.es:10324/661562024-12-03T13:09:11Zcom_10324_1129com_10324_931com_10324_894col_10324_1193

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 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. spa info:eu-repo/semantics/openAccess © 2015 by De Gruyter Matemáticas Cycles in Leavitt path algebras by means of idempotents info:eu-repo/semantics/article