dc.contributor.author | Haugland, Johanne | |
dc.date.accessioned | 2022-10-24T10:50:48Z | |
dc.date.available | 2022-10-24T10:50:48Z | |
dc.date.created | 2021-01-11T12:32:58Z | |
dc.date.issued | 2021 | |
dc.identifier.citation | Applied Categorical Structures. 2021, 29 (3), 431-446. | en_US |
dc.identifier.issn | 0927-2852 | |
dc.identifier.uri | https://hdl.handle.net/11250/3027858 | |
dc.description.abstract | We define the Grothendieck group of an n-exangulated category. For n odd, we show that this group shares many properties with the Grothendieck group of an exact or a triangulated category. In particular, we classify dense complete subcategories of an n-exangulated category with an n-(co)generator in terms of subgroups of the Grothendieck group. This unifies and extends results of Thomason, Bergh–Thaule, Matsui and Zhu–Zhuang for triangulated, (n+2)-angulated, exact and extriangulated categories, respectively. We also introduce the notion of an n-exangulated subcategory and prove that the subcategories in our classification theorem carry this structure. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Springer | en_US |
dc.title | The Grothendieck Group of an n-exangulated Category | en_US |
dc.type | Peer reviewed | en_US |
dc.type | Journal article | en_US |
dc.description.version | acceptedVersion | en_US |
dc.rights.holder | This is the authors' accepted manuscript to an article published by Springer. | en_US |
dc.source.pagenumber | 431-446 | en_US |
dc.source.volume | 29 | en_US |
dc.source.journal | Applied Categorical Structures | en_US |
dc.source.issue | 3 | en_US |
dc.identifier.doi | 10.1007/s10485-020-09622-w | |
dc.identifier.cristin | 1868899 | |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 1 | |