dc.contributor.author | Christensen, Lars Winther | |
dc.contributor.author | Estrada, Sergio | |
dc.contributor.author | Thompson, Peder | |
dc.date.accessioned | 2021-03-18T09:10:45Z | |
dc.date.available | 2021-03-18T09:10:45Z | |
dc.date.created | 2019-08-19T12:36:13Z | |
dc.date.issued | 2019 | |
dc.identifier.issn | 0271-4132 | |
dc.identifier.uri | https://hdl.handle.net/11250/2734077 | |
dc.description.abstract | We introduce a notion of total acyclicity associated to a subcategory of an abelian category and consider the Gorenstein objects they define. These Gorenstein objects form a Frobenius category, whose induced stable category is equivalent to the homotopy category of totally acyclic complexes. Applied to the flat–cotorsion theory over a coherent ring, this provides a new description of the category of cotorsion Gorenstein flat modules; one that puts it on equal footing with the category of Gorenstein projective modules. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | American Mathematical Society | en_US |
dc.title | Homotopy categories of totally acyclic complexes with applications to 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.journal | Contemporary Mathematics | en_US |
dc.identifier.doi | http://dx.doi.org/10.1090/conm/751/15112 | |
dc.identifier.cristin | 1717058 | |
dc.description.localcode | © 2020. This is the authors' accepted and refereed manuscript to the article. The final authenticated version is available online at: http://dx.doi.org/10.1090/conm/751/15112 | en_US |
cristin.unitcode | 194,63,15,0 | |
cristin.unitname | Institutt for matematiske fag | |
cristin.ispublished | false | |
cristin.fulltext | postprint | |
cristin.qualitycode | 1 | |