dc.contributor.author | Henrard, Ruben | |
dc.contributor.author | Kvamme, Sondre | |
dc.contributor.author | van Roosmalen, Adam-Christiaan | |
dc.contributor.author | Wegner, Sven-Ake | |
dc.date.accessioned | 2024-03-04T12:31:33Z | |
dc.date.available | 2024-03-04T12:31:33Z | |
dc.date.created | 2023-07-07T12:27:07Z | |
dc.date.issued | 2023 | |
dc.identifier.citation | Revista matemática iberoamericana. 2023, 39 (2), 439-494. | en_US |
dc.identifier.issn | 0213-2230 | |
dc.identifier.uri | https://hdl.handle.net/11250/3120897 | |
dc.description.abstract | However, there are natural examples of categories in functional analysis which are not quasi-abelian, but merely one-sided quasi-abelian or even weaker. Examples are the category of LB-spaces or the category of complete Hausdorff locally convex spaces. In this paper, we consider additive regular categories as a generalization of quasi-abelian categories that covers the aforementioned examples. Additive regular categories can be characterized as those subcategories of abelian categories which are closed under subobjects.
As for quasi-abelian categories, we show that such an ambient abelian category of an additive regular category E can be found as the heart of a t-structure on the bounded derived category D b (E), or as the localization of the category of monomorphisms of E. In our proof of this last construction, we formulate and prove a version of Auslander's formula for additive regular categories.
Whereas a quasi-abelian category is an exact category in a natural way, an additive regular category has a natural one-sided exact structure. Such a one-sided exact category can be 2-universally embedded into its exact hull. We show that the exact hull of an additive regular category is again an additive regular category. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | EMS Press | en_US |
dc.rights | Navngivelse 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
dc.title | The left heart and exact hull of an additive regular category | en_US |
dc.title.alternative | The left heart and exact hull of an additive regular category | en_US |
dc.type | Journal article | en_US |
dc.type | Peer reviewed | en_US |
dc.description.version | publishedVersion | en_US |
dc.source.pagenumber | 439-494 | en_US |
dc.source.volume | 39 | en_US |
dc.source.journal | Revista matemática iberoamericana | en_US |
dc.source.issue | 2 | en_US |
dc.identifier.doi | 10.4171/RMI/1388 | |
dc.identifier.cristin | 2161398 | |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 2 | |