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A refinement of Gorenstein flat dimension via the flat–cotorsion theory

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dc.contributor.authorChristensen, Lars Winther
dc.contributor.authorEstrada, Sergio
dc.contributor.authorLiang, Li
dc.contributor.authorThompson, Peder
dc.contributor.authorWu, Dejun
dc.contributor.authorYang, Gang
dc.contributor.departmentMatemáticas
dc.date.accessioned2024-01-18T09:48:22Z
dc.date.available2024-01-18T09:48:22Z
dc.date.issued2021-02-01
dc.description©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.2020.09.024es
dc.description.abstractWe 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.es
dc.formatapplication/pdfes
dc.format.extent21es
dc.identifier.citationJournal of Algebra
dc.identifier.doihttps://doi.org/10.1016/j.jalgebra.2020.09.024
dc.identifier.doi0021-8693
dc.identifier.issn1090-266X
dc.identifier.urihttp://hdl.handle.net/10201/137422
dc.languageenges
dc.publisherScienceDirectes
dc.relationSergio Estrada was partly supported by grant MTM2016-77445-P (AEI/FEDER,UE) and Fundación Seneca grant 19880/GERM/15;es
dc.rightsinfo:eu-repo/semantics/openAccesses
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectFlat-cotorsion modulees
dc.subjectGorenstein flat dimensiones
dc.subjectGorenstein flat-cotorsion dimensiones
dc.subject.otherCDU::5 - Ciencias puras y naturaleses
dc.titleA refinement of Gorenstein flat dimension via the flat–cotorsion theoryes
dc.typeinfo:eu-repo/semantics/articlees
dspace.entity.typePublicationes
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