RT Journal Article T1 Largest ideals in Leavitt path algebras. A1 Cam, Vural A1 Gil-Canto, Cristóbal A1 Kanuni, Müge A1 Siles-Molina, Mercedes K1 Álgebra K1 Ideales (Algebra) AB We identify largest ideals in Leavitt path algebras: the largest locally left/right artinian (which is the largest semisimple one), the largest locally left/right noetherian without minimal idempotents, the largest exchange, and the largest purely in nite. This last idealis described as a direct sum of purely in nite simple pieces plus purely in nite non-simple and non-decomposable pieces. The invariance under ring isomorphisms of these ideals is also studied. PB Springer Nature YR 2020 FD 2020-02-22 LK https://hdl.handle.net/10630/30586 UL https://hdl.handle.net/10630/30586 LA eng NO Cam, V., Gil Canto, C., Kanuni, M. et al. Largest Ideals in Leavitt Path Algebras. Mediterr. J. Math. 17, 66 (2020). https://doi.org/10.1007/s00009-020-1486-8 NO Política de acceso abierto tomada de: https://v2.sherpa.ac.uk/id/publication/14326?template=romeo NO The second and the last author are supported by the Junta de Andalucía and Fondos FEDER, jointly, through project FQM-336. They are also supported by the Spanish Ministerio de Economía y Competitividad and Fondos FEDER, jointly, through project MTM2016-76327-C3-1-P.The  first author is supported by the Scientific and Technological Research Council of Turkey (TUBITAK-BIDEB) 2019-International Post-Doctoral Research Fellowship. DS RIUMA. Repositorio Institucional de la Universidad de Málaga RD 21 ene 2026