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dc.contributor.authorIyama, Osamu
dc.contributor.authorSolberg, Øyvind
dc.date.accessioned2019-03-22T12:39:57Z
dc.date.available2019-03-22T12:39:57Z
dc.date.created2018-01-03T13:58:43Z
dc.date.issued2018
dc.identifier.citationAdvances in Mathematics. 2018, 326 200-240.nb_NO
dc.identifier.issn0001-8708
dc.identifier.urihttp://hdl.handle.net/11250/2591319
dc.description.abstractWe 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.isoengnb_NO
dc.publisherElseviernb_NO
dc.titleAuslander-Gorenstein algebras and precluster tiltingnb_NO
dc.typeJournal articlenb_NO
dc.typePeer reviewednb_NO
dc.description.versionacceptedVersionnb_NO
dc.source.pagenumber200-240nb_NO
dc.source.volume326nb_NO
dc.source.journalAdvances in Mathematicsnb_NO
dc.identifier.doi10.1016/j.aim.2017.11.025
dc.identifier.cristin1534925
dc.relation.projectNorges forskningsråd: 231000nb_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.unitcode194,63,15,0
cristin.unitnameInstitutt for matematiske fag
cristin.ispublishedtrue
cristin.fulltextpreprint
cristin.qualitycode2


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