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Largest ideals in Leavitt path algebras.
dc.contributor.author | Cam, Vural | |
dc.contributor.author | Gil-Canto, Cristóbal | |
dc.contributor.author | Kanuni, Müge | |
dc.contributor.author | Siles-Molina, Mercedes | |
dc.date.accessioned | 2024-02-21T13:43:44Z | |
dc.date.available | 2024-02-21T13:43:44Z | |
dc.date.issued | 2020-02-22 | |
dc.identifier.citation | 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 | es_ES |
dc.identifier.uri | https://hdl.handle.net/10630/30586 | |
dc.description | Política de acceso abierto tomada de: https://v2.sherpa.ac.uk/id/publication/14326?template=romeo | es_ES |
dc.description.abstract | 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. | es_ES |
dc.description.sponsorship | 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. | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | Springer Nature | es_ES |
dc.rights | info:eu-repo/semantics/openAccess | es_ES |
dc.subject | Álgebra | es_ES |
dc.subject | Ideales (Algebra) | es_ES |
dc.subject.other | Leavitt path algebra | es_ES |
dc.subject.other | Socle | es_ES |
dc.subject.other | Extreme cycle | es_ES |
dc.subject.other | Line point | es_ES |
dc.subject.other | Purely infinite ideal | es_ES |
dc.title | Largest ideals in Leavitt path algebras. | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.centro | E.T.S.I. Informática | es_ES |
dc.identifier.doi | 10.1007/s00009-020-1486-8 | |
dc.type.hasVersion | info:eu-repo/semantics/acceptedVersion | es_ES |