Por favor, use este identificador para citar o enlazar este ítem: https://doi.org/10.1016/j.jalgebra.2020.09.024

Título: A refinement of Gorenstein flat dimension via the flat–cotorsion theory
Fecha de publicación: 1-feb-2021
Editorial: ScienceDirect
Cita bibliográfica: Journal of Algebra
ISSN: 1090-266X
Materias relacionadas: CDU::5 - Ciencias puras y naturales
Palabras clave: Flat-cotorsion module
Gorenstein flat dimension
Gorenstein flat-cotorsion dimension
Resumen: We introduce a refinement of the Gorenstein flat dimension for complexes over an associative ring—the Gorenstein flat-cotorsion dimension—and prove that it, unlike the Gorenstein flat dimension, behaves as one expects of a homological di-mension without extra assumptions on the ring. Crucially, we show that it coincides with the Gorenstein flat dimension for complexes where the latter is finite, and for complexes over right coherent rings—the setting where the Gorenstein flat dimension is known to behave as expected.
Autor/es principal/es: Christensen, Lars Winther
Estrada, Sergio
Liang, Li
Thompson, Peder
Wu, Dejun
Yang, Gang
Facultad/Departamentos/Servicios: Facultades, Departamentos, Servicios y Escuelas::Departamentos de la UMU::Matemáticas
URI: http://hdl.handle.net/10201/137422
DOI: https://doi.org/10.1016/j.jalgebra.2020.09.024
0021-8693
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: ©2021. 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 Journal of Algebra. To access the final edited and published work see https://doi.org/10.1016/j.jalgebra.2020.09.024
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