dc.contributor.author | Iyama, Osamu | |
dc.contributor.author | Solberg, Øyvind | |
dc.date.accessioned | 2019-03-22T12:39:57Z | |
dc.date.available | 2019-03-22T12:39:57Z | |
dc.date.created | 2018-01-03T13:58:43Z | |
dc.date.issued | 2018 | |
dc.identifier.citation | Advances in Mathematics. 2018, 326 200-240. | nb_NO |
dc.identifier.issn | 0001-8708 | |
dc.identifier.uri | http://hdl.handle.net/11250/2591319 | |
dc.description.abstract | We generalize the notions of n-cluster tilting subcategories and τselfinjective algebras into n-precluster tilting subcategories and τn-selfinjective algebras, where we show that a subcategory naturally associated to n-precluster tilting subcategories has a higher Auslander–Reiten theory. Furthermore, we give a bijection between n-precluster tilting subcategories and n-minimal Auslander–Gorenstein algebras, which is a higher dimensional analog of Auslander– Solberg correspondence (Auslander–Solberg, 1993) as well as a Gorenstein analog of n-Auslander correspondence (Iyama, 2007). The Auslander–Reiten theory associated to an n-precluster tilting subcategory is used to classify the n-minimal Auslander–Gorenstein algebras into four disjoint classes. Our method is based on relative homological algebra due to Auslander–Solberg. | nb_NO |
dc.language.iso | eng | nb_NO |
dc.publisher | Elsevier | nb_NO |
dc.title | Auslander-Gorenstein algebras and precluster tilting | nb_NO |
dc.type | Journal article | nb_NO |
dc.type | Peer reviewed | nb_NO |
dc.description.version | acceptedVersion | nb_NO |
dc.source.pagenumber | 200-240 | nb_NO |
dc.source.volume | 326 | nb_NO |
dc.source.journal | Advances in Mathematics | nb_NO |
dc.identifier.doi | 10.1016/j.aim.2017.11.025 | |
dc.identifier.cristin | 1534925 | |
dc.relation.project | Norges forskningsråd: 231000 | nb_NO |
dc.description.localcode | © 2018. This is the authors’ accepted and refereed manuscript to the article. Locked until 3.1.2020 due to copyright restrictions. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ | nb_NO |
cristin.unitcode | 194,63,15,0 | |
cristin.unitname | Institutt for matematiske fag | |
cristin.ispublished | true | |
cristin.fulltext | preprint | |
cristin.qualitycode | 2 | |