The Auslander-Reiten quiver of the category of m−periodic complexes

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UDC.coleccionInvestigaciónes_ES
UDC.departamentoMatemáticases_ES
UDC.grupoInvXeometría Diferencial e as súas Aplicacións (XDA)es_ES
UDC.issue5es_ES
UDC.journalTitleJournal of Pure and Applied Algebraes_ES
UDC.startPage107569es_ES
UDC.volume228es_ES
dc.contributor.authorChaio, Claudia
dc.contributor.authorGonzález Chaio, Alfredo
dc.contributor.authorPratti, Isabel
dc.contributor.authorSouto Salorio, María José
dc.date.accessioned2023-12-14T18:41:48Z
dc.date.embargoEndDate2026-05-01es_ES
dc.date.embargoLift2026-05-01
dc.date.issued2024-05
dc.description©2024. This manuscript version is made available under the CC-BY-NC-ND 4.0 license https://creativecommons.org/licenses/by-nc-nd/4.0/. This version of the article: Chaio, C., González Chaio, A., Pratti, I., & Souto Salorio, M. J. (2024). “The Auslander-Reiten quiver of the category of m−periodic complexes.” has been accepted for publication in Journal of Pure and Applied Algebra, 228(5), 107569. The Version of Record is available online at https://doi.org/10.1016/j.jpaa.2023.107569.es_ES
dc.description.abstract[Abstract]: Let A be an additive k−category and C≡m(A) be the category of m−periodic complexes. For any integer m > 1, we study conditions under which the compression b functor Fm : C (A) → C≡m(A) preserves or reflects irreducible morphisms. Moreover, we find sufficient conditions for the functor Fm to be a Galois G-covering in the sense of [3]. If in addition A is a dualizing category then C≡m(A) has almost split sequences. In particular, for a finite dimensional algebra A with finite strong global dimension we determine how to build the Auslander-Reiten quiver of the category C≡m(proj A). Furthermore, we study the behavior of sectional paths in C≡m(proj A), when A is a finite dimensional algebra over a field k.es_ES
dc.description.sponsorshipThe first three named authors thankfully acknowledge partial support from EXA/1057/22 from Universidad Nacional de Mar del Plata, Argentina. The fourth author thanks support from Proyecto del Ministerio español de Ciencia e Innovación (MICINN) PID2020-113230RB-C21. The first author is a researcher from CONICET.es_ES
dc.description.sponsorshipArgentina. Universidad Nacional de Mar del Plata; EXA/1057/22es_ES
dc.identifier.citationChaio, C., González Chaio, A., Pratti, I., & Souto Salorio, M. J. (2024). The Auslander-Reiten quiver of the category of m−periodic complexes. Journal of Pure and Applied Algebra, 228(5), 107569. doi:10.1016/j.jpaa.2023.107569es_ES
dc.identifier.doi10.1016/j.jpaa.2023.107569
dc.identifier.issn0022-4049
dc.identifier.urihttp://hdl.handle.net/2183/34511
dc.language.isoenges_ES
dc.publisherElsevieres_ES
dc.relation.isversionofhttps://doi.org/10.1016/j.jpaa.2023.107569
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-113230RB-C21/ES/MODELOS MULTITAREA DE ETIQUETADO SECUENCIAL PARA EL RECONOCIMIENTO DE ENTIDADES ENRIQUECIDO CON INFORMACIÓN LINGÜÍSTICA: SINTAXIS E INTEGRACIÓN MULTITAREA (SCANNER-UDC)es_ES
dc.relation.urihttps://doi.org/10.1016/j.jpaa.2023.107569es_ES
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internationales_ES
dc.rights.accessRightsopen accesses_ES
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/*
dc.subjectComplexeses_ES
dc.subjectIrreduciblees_ES
dc.subjectPeriodic categoryes_ES
dc.subjectGalois coveringes_ES
dc.titleThe Auslander-Reiten quiver of the category of m−periodic complexeses_ES
dc.typejournal articlees_ES
dspace.entity.typePublication
relation.isAuthorOfPublication7f4f47e1-7bf0-4a4a-bdb2-b1b5f90e26d1
relation.isAuthorOfPublication.latestForDiscovery7f4f47e1-7bf0-4a4a-bdb2-b1b5f90e26d1

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