dc.contributor.author | Haugland, Johanne | |
dc.date.accessioned | 2022-03-24T13:19:20Z | |
dc.date.available | 2022-03-24T13:19:20Z | |
dc.date.created | 2021-12-14T08:09:35Z | |
dc.date.issued | 2021 | |
dc.identifier.issn | 1386-923X | |
dc.identifier.uri | https://hdl.handle.net/11250/2987413 | |
dc.description.abstract | We prove that if the Auslander–Reiten triangles generate the relations for the Grothendieck group of a Hom-finite Krull–Schmidt triangulated category with a (co)generator, then the category has only finitely many isomorphism classes of indecomposable objects up to translation. This gives a triangulated converse to a theorem of Butler and Auslander–Reiten on the relations for Grothendieck groups. Our approach has applications in the context of Frobenius categories. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Springer | en_US |
dc.rights | Navngivelse 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
dc.title | Auslander–Reiten Triangles and Grothendieck Groups of Triangulated Categories | en_US |
dc.type | Peer reviewed | en_US |
dc.type | Journal article | en_US |
dc.description.version | publishedVersion | en_US |
dc.source.journal | Algebras and Representation Theory | en_US |
dc.identifier.doi | 10.1007/s10468-021-10071-9 | |
dc.identifier.cristin | 1968016 | |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 1 | |