dc.contributor.author | Thompson, Peder | |
dc.date.accessioned | 2020-01-29T09:40:09Z | |
dc.date.available | 2020-01-29T09:40:09Z | |
dc.date.created | 2019-05-12T12:45:34Z | |
dc.date.issued | 2019 | |
dc.identifier.citation | Mathematica Scandinavica. 2019, 124 (1), 15-33. | nb_NO |
dc.identifier.issn | 0025-5521 | |
dc.identifier.uri | http://hdl.handle.net/11250/2638499 | |
dc.description.abstract | Let R be a commutative noetherian ring. We give criteria for a complex of cotorsion flat R-modules to be minimal, in the sense that every self homotopy equivalence is an isomorphism. To do this, we exploit Enochs' description of the structure of cotorsion flat R-modules. More generally, we show that any complex built from covers in every degree (or envelopes in every degree) is minimal, as well as give a partial converse to this in the context of cotorsion pairs. As an application, we show that every R-module is isomorphic in the derived category over R to a minimal semi-flat complex of cotorsion flat R-modules. | nb_NO |
dc.language.iso | eng | nb_NO |
dc.publisher | Mathematica Scandinavica | nb_NO |
dc.title | Minimal complexes of cotorsion flat modules | nb_NO |
dc.type | Journal article | nb_NO |
dc.type | Peer reviewed | nb_NO |
dc.description.version | acceptedVersion | nb_NO |
dc.source.pagenumber | 15-33 | nb_NO |
dc.source.volume | 124 | nb_NO |
dc.source.journal | Mathematica Scandinavica | nb_NO |
dc.source.issue | 1 | nb_NO |
dc.identifier.doi | 10.7146/math.scand.a-110787 | |
dc.identifier.cristin | 1697173 | |
dc.description.localcode | This is the authors' accepted and refereed manuscript to the article. The final version of the article is published in Mathematica Scandinavica http://dx.doi.org/10.7146/math.scand.a-110787 | nb_NO |
cristin.unitcode | 194,63,15,0 | |
cristin.unitname | Institutt for matematiske fag | |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 1 | |