A refinement of Gorenstein flat dimension via the flat--cotorsion theory
| dc.contributor.author | Christensen, Lars Winther | |
| dc.contributor.author | Estrada, Sergio | |
| dc.contributor.author | Liang, Li | |
| dc.contributor.author | Thompson, Peder | |
| dc.contributor.author | Wu, Dejun | |
| dc.contributor.author | Yang, Gang | |
| dc.date.accessioned | 2021-03-15T14:26:32Z | |
| dc.date.available | 2021-03-15T14:26:32Z | |
| dc.date.created | 2021-01-18T14:44:12Z | |
| dc.date.issued | 2021 | |
| dc.identifier.citation | Journal of Algebra. 2021, 567, 346-370. | en_US |
| dc.identifier.issn | 0021-8693 | |
| dc.identifier.uri | https://hdl.handle.net/11250/2733474 | |
| dc.description.abstract | 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 dimension 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. | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | Elsevier | en_US |
| dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internasjonal | * |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/deed.no | * |
| dc.title | A refinement of Gorenstein flat dimension via the flat--cotorsion theory | en_US |
| dc.type | Peer reviewed | en_US |
| dc.type | Journal article | en_US |
| dc.description.version | acceptedVersion | en_US |
| dc.source.pagenumber | 346-370 | en_US |
| dc.source.volume | 567 | en_US |
| dc.source.journal | Journal of Algebra | en_US |
| dc.identifier.doi | https://doi.org/10.1016/j.jalgebra.2020.09.024 | |
| dc.identifier.cristin | 1873376 | |
| dc.description.localcode | © 2020. This is the authors’ accepted and refereed manuscript to the article. Locked until 29 September 2022 due to copyright restrictions. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ | en_US |
| cristin.ispublished | true | |
| cristin.fulltext | postprint | |
| cristin.qualitycode | 2 |
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