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Campo DC | Valor | Lengua/Idioma |
---|---|---|
dc.contributor.author | Bazzoni, Silvana | - |
dc.contributor.author | Cortés Izurdiaga, Manuel | - |
dc.contributor.author | Estrada, Sergio | - |
dc.contributor.other | Facultades, Departamentos, Servicios y Escuelas::Departamentos de la UMU::Matemáticas | es |
dc.date.accessioned | 2024-01-17T13:21:49Z | - |
dc.date.available | 2024-01-17T13:21:49Z | - |
dc.date.issued | 2019-08-07 | - |
dc.identifier.citation | Algebras and Representation Theory (2020) 23:1861–1883 | es |
dc.identifier.issn | 1572-9079 | - |
dc.identifier.issn | 1386-923X | - |
dc.identifier.uri | http://hdl.handle.net/10201/137402 | - |
dc.description | ©2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ This document is the Accepted version of a Published Work that appeared in final form in https://doi.org/10.1007/s10468-019-09918-z. To access the final edited and published work see https://doi.org/10.1007/s10468-019-09918-z | es |
dc.description.abstract | We study the behaviour of modules M that fit into a short exact sequence 0 → M → C → M → 0, where C belongs to a class of modules C, the so-called C-periodic modules. We find a rather general framework to improve and generalize some well-known results of Benson and Goodearl and Simson. In the second part we will combine techniques of hereditary cotorsion pairs and presentation of direct limits, to conclude, among other applications, that if M is any module and C is cotorsion, then M will be also cotorsion. This will lead to some meaningful consequences in the category Ch(R) of unbounded chain complexes and in Gorenstein homological algebra. For example we show that every acyclic complex of cotorsion modules has cotorsion cycles, and more generally, every map F → C where C is a complex of cotorsion modules and F is an acyclic complex of flat cycles, is null-homotopic. In other words, every complex of cotorsion modules is dg-cotorsion. | es |
dc.format | application/pdf | es |
dc.format.extent | 20 | es |
dc.language | eng | es |
dc.publisher | Springer | es |
dc.relation | Sergio Estrada is partially supported by grants 18934/JLI/13 of Fundación Séneca- Agencia de Ciencia y Tecnología de la Región de Murcia in the framework of III PCTRM 2011- 2014, MTM2016-77445-P of Ministerio de Economía, Industria y Competitividad and FEDER funds. | es |
dc.rights | info:eu-repo/semantics/openAccess | es |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Periodic C-module | es |
dc.subject | Pure C-periodic module | es |
dc.subject | Locally split short exact sequence | es |
dc.subject | Hereditary cotorsion pair | es |
dc.subject | Acyclic complex | es |
dc.subject.other | CDU::5 - Ciencias puras y naturales | es |
dc.title | Periodic Modules and Acyclic Complexes | es |
dc.type | info:eu-repo/semantics/article | es |
dc.identifier.doi | https://doi.org/10.1007/s10468-019-09918-z | - |
Aparece en las colecciones: | Artículos: Matemáticas |
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Periodic_Final_aceptado.pdf | 368,89 kB | Adobe PDF | Visualizar/Abrir |
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