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oai:riuma.uma.es:10630/305862026-02-03T10:51:29Zcom_10630_2254col_10630_37953

Largest ideals in Leavitt path algebras. Cam, Vural Gil-Canto, Cristóbal Kanuni, Müge Siles-Molina, Mercedes Álgebra Ideales (Algebra) Política de acceso abierto tomada de: https://v2.sherpa.ac.uk/id/publication/14326?template=romeo 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 ideal is 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. 2024-02-21T13:43:44Z 2024-02-21T13:43:44Z 2020-02-22 journal article 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 https://hdl.handle.net/10630/30586 10.1007/s00009-020-1486-8 eng open access Springer Nature