dc.contributor.author | Henrard, Ruben | |
dc.contributor.author | Kvamme, Sondre | |
dc.contributor.author | van Roosmalen, Adam-Christiaan | |
dc.date.accessioned | 2023-03-06T12:42:00Z | |
dc.date.available | 2023-03-06T12:42:00Z | |
dc.date.created | 2022-05-03T12:48:53Z | |
dc.date.issued | 2022 | |
dc.identifier.citation | Advances in Mathematics. 2022, 401 . | en_US |
dc.identifier.issn | 0001-8708 | |
dc.identifier.uri | https://hdl.handle.net/11250/3056063 | |
dc.description.abstract | The Auslander correspondence is a fundamental result in Auslander-Reiten theory. In this paper we introduce the category of admissibly finitely presented functors and use it to give a version of Auslander correspondence for any exact category . An important ingredient in the proof is the localization theory of exact categories. We also investigate how properties of are reflected in , for example being (weakly) idempotent complete or having enough projectives or injectives. Furthermore, we describe as a subcategory of when is a resolving subcategory of an abelian category. This includes the category of Gorenstein projective modules and the category of maximal Cohen-Macaulay modules as special cases. Finally, we use to give a bijection between exact structures on an idempotent complete additive category and certain resolving subcategories of . | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Elsevier Ltd. | en_US |
dc.title | Auslander's formula and correspondence for exact categories | en_US |
dc.title.alternative | Auslander's formula and correspondence for exact categories | en_US |
dc.type | Peer reviewed | en_US |
dc.type | Journal article | en_US |
dc.description.version | publishedVersion | en_US |
dc.rights.holder | © 2022 Elsevier Inc. All rights reserved. | en_US |
dc.source.pagenumber | 0 | en_US |
dc.source.volume | 401 | en_US |
dc.source.journal | Advances in Mathematics | en_US |
dc.identifier.doi | 10.1016/j.aim.2022.108296 | |
dc.identifier.cristin | 2020953 | |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 2 | |