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Título: | Balanced pairs, cotorsion triplets and quiver representations |
Fecha de publicación: | 13-ago-2019 |
Editorial: | Cambridge University Press |
Cita bibliográfica: | Estrada S, Pérez MA, Zhu H. Balanced pairs, cotorsion triplets and quiver representations. Proceedings of the Edinburgh Mathematical Society. 2020;63(1):67-90. |
ISSN: | 0013-0915 1464-3839 |
Materias relacionadas: | CDU::5 - Ciencias puras y naturales |
Palabras clave: | Balanced pair Cotorsion triplet Quiver representation |
Resumen: | Balanced pairs appear naturally in the realm of relative homological algebra associated with the balance of right-derived functors of the Hom functor. Cotorsion triplets are a natural source of such pairs. In this paper, we study the connection between balanced pairs and cotorsion triplets by using recent quiver representation techniques. In doing so, we find a new characterization of abelian categories that have enough projectives and injectives in terms of the existence of complete hereditary cotorsion triplets. We also provide a short proof of the lack of balance for derived functors of Hom computed using flat resolutions, which extends the one given by Enochs in the commutative case. |
Autor/es principal/es: | Estrada, Sergio Pérez, Marco A. Zhu, Haiyan |
Facultad/Departamentos/Servicios: | Facultades, Departamentos, Servicios y Escuelas::Departamentos de la UMU |
URI: | http://hdl.handle.net/10201/137401 |
DOI: | https://doi.org/10.1017/S0013091519000270 |
Tipo de documento: | info:eu-repo/semantics/article |
Número páginas / Extensión: | 21 |
Derechos: | info:eu-repo/semantics/openAccess Attribution-NonCommercial-NoDerivatives 4.0 Internacional |
Descripción: | ©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 Proceedings of the Edinburgh Mathematical Society. To access the final edited and published work seehttps://doi.org/10.1017/S0013091519000270 |
Aparece en las colecciones: | Artículos: Matemáticas |
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balance_revised_2.pdf | 468,2 kB | Adobe PDF | Visualizar/Abrir |
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