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On the Degree in Categories of Complexes of Fixed Size
| dc.contributor.author | Chaio, Claudia | |
| dc.contributor.author | Pratti, Isabel | |
| dc.contributor.author | Souto Salorio, María José | |
| dc.date.accessioned | 2023-12-14T18:10:45Z | |
| dc.date.available | 2023-12-14T18:10:45Z | |
| dc.date.issued | 2019-02-01 | |
| dc.identifier.citation | Chaio, 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-x | es_ES |
| dc.identifier.issn | 0927-2852 | |
| dc.identifier.uri | http://hdl.handle.net/2183/34508 | |
| dc.description | This 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.sponsorship | The 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.sponsorship | Argentina. Universidad Nacional de Mar del Plata; EXA558/14 | es_ES |
| dc.description.sponsorship | Cn(proj Λ) H n ≥ 2. | es_ES |
| dc.language.iso | eng | es_ES |
| dc.publisher | Springer | es_ES |
| dc.relation | info: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 MICROTEXTO | es_ES |
| dc.relation.isversionof | https://doi.org/10.1007/s10485-019-09557-x | |
| dc.relation.uri | https://doi.org/10.1007/s10485-019-09557-x | es_ES |
| dc.rights | Todos os dereitos reservados. All rights reserved. | es_ES |
| dc.subject | Irreducible morphisms | es_ES |
| dc.subject | Auslander–Reiten quiver | es_ES |
| dc.subject | Degree | es_ES |
| dc.subject | Kernel | es_ES |
| dc.subject | Cokernel | es_ES |
| dc.title | On the Degree in Categories of Complexes of Fixed Size | es_ES |
| dc.type | info:eu-repo/semantics/article | es_ES |
| dc.rights.access | info:eu-repo/semantics/openAccess | es_ES |
| UDC.volume | 27 | es_ES |
| UDC.startPage | 435 | es_ES |
| UDC.endPage | 462 | es_ES |
| dc.identifier.doi | 10.1007/s10485-019-09557-x |
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