On the Degree in Categories of Complexes of Fixed Size

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UDC.coleccionInvestigaciónes_ES
UDC.departamentoMatemáticases_ES
UDC.endPage462es_ES
UDC.grupoInvXeometría Diferencial e as súas Aplicacións (XDA)es_ES
UDC.startPage435es_ES
UDC.volume27es_ES
dc.contributor.authorChaio, Claudia
dc.contributor.authorPratti, Isabel
dc.contributor.authorSouto Salorio, María José
dc.date.accessioned2023-12-14T18:10:45Z
dc.date.available2023-12-14T18:10:45Z
dc.date.issued2019-02-01
dc.descriptionThis version of the article has been accepted for publication, after peer review and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: https://doi.org/10.1007/s10485-019-09557-x.es_ES
dc.description.abstract[Abstract]: We consider Λ an artin algebra and n ≥ 2. We study how to compute the left and right degrees of irreducible morphisms between complexes in a generalized standard Auslander-Reiten component of Cn(proj Λ) with length. We give conditions under which the kernel and the cokernel of irreducible morphisms between complexes in Cn(proj Λ) belong to such a category. For a finite dimensional hereditary algebra H over an algebraically closed field, we determine when an irreducible morphism has finite left (or right) degree and we give a characterization, depending on the degrees of certain irreducible morphisms, under which Cn(proj H) is of finite type.es_ES
dc.description.sponsorshipThe first and second authors thankfully acknowledge partial support from CONICET and EXA558/14 from Universidad Nacional de Mar del Plata, Argentina. The third author thankfully acknowledge support from Ministerio Español de Economía y Competitividad and FEDER (FFI2014-51978-C2-2-R). The first author is a researcher from CONICET.es_ES
dc.description.sponsorshipArgentina. Universidad Nacional de Mar del Plata; EXA558/14es_ES
dc.description.sponsorshipCn(proj Λ) H n ≥ 2.es_ES
dc.identifier.citationChaio, C., Pratti, I. & Souto Salorio, M.J. On the Degree in Categories of Complexes of Fixed Size. Appl Categor Struct 27, 435–462 (2019). https://doi.org/10.1007/s10485-019-09557-xes_ES
dc.identifier.doi10.1007/s10485-019-09557-x
dc.identifier.issn0927-2852
dc.identifier.urihttp://hdl.handle.net/2183/34508
dc.language.isoenges_ES
dc.publisherSpringeres_ES
dc.relation.isversionofhttps://doi.org/10.1007/s10485-019-09557-x
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/FFI2014-51978-C2-2-R/ES/TECNOLOGIAS DE LA LENGUA PARA ANALISIS DE OPINIONES EN REDES SOCIALES: DEL TEXTO AL MICROTEXTOes_ES
dc.relation.urihttps://doi.org/10.1007/s10485-019-09557-xes_ES
dc.rightsTodos os dereitos reservados. All rights reserved.es_ES
dc.rights.accessRightsopen accesses_ES
dc.subjectIrreducible morphismses_ES
dc.subjectAuslander–Reiten quiveres_ES
dc.subjectDegreees_ES
dc.subjectKerneles_ES
dc.subjectCokerneles_ES
dc.titleOn the Degree in Categories of Complexes of Fixed Sizees_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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