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The Auslander-Reiten quiver of the category of m−periodic complexes
dc.contributor.author | Chaio, Claudia | |
dc.contributor.author | González Chaio, Alfredo | |
dc.contributor.author | Pratti, Isabel | |
dc.contributor.author | Souto Salorio, María José | |
dc.date.accessioned | 2023-12-14T18:41:48Z | |
dc.date.issued | 2024-05 | |
dc.identifier.citation | Chaio, 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.2023.107569 | es_ES |
dc.identifier.issn | 0022-4049 | |
dc.identifier.uri | http://hdl.handle.net/2183/34511 | |
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.sponsorship | The 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.sponsorship | Argentina. Universidad Nacional de Mar del Plata; EXA/1057/22 | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | Elsevier | es_ES |
dc.relation | info: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.isversionof | https://doi.org/10.1016/j.jpaa.2023.107569 | |
dc.relation.uri | https://doi.org/10.1016/j.jpaa.2023.107569 | es_ES |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International | es_ES |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ | * |
dc.subject | Complexes | es_ES |
dc.subject | Irreducible | es_ES |
dc.subject | Periodic category | es_ES |
dc.subject | Galois covering | es_ES |
dc.title | The Auslander-Reiten quiver of the category of m−periodic complexes | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.rights.access | info:eu-repo/semantics/embargoedAccess | es_ES |
dc.date.embargoEndDate | 2026-05-01 | es_ES |
dc.date.embargoLift | 2026-05-01 | |
UDC.journalTitle | Journal of Pure and Applied Algebra | es_ES |
UDC.volume | 228 | es_ES |
UDC.issue | 5 | es_ES |
UDC.startPage | 107569 | es_ES |
dc.identifier.doi | 10.1016/j.jpaa.2023.107569 |
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