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dc.contributor.advisorOppermann, Steffen
dc.contributor.authorKarlsen, Terje Bull
dc.date.accessioned2019-09-11T11:19:31Z
dc.date.created2016-01-01
dc.date.issued2016
dc.identifierntnudaim:11748
dc.identifier.urihttp://hdl.handle.net/11250/2616024
dc.description.abstractTau-tilting theory was recently introduced by Adachi, Iyama and Reiten. Their main aim was to develop a generalization of classical tilting theory where mutation is always possible. The inspiration for this came mainly from the recently developed cluster-tilting theory where there is such a result. An inspiration for using tau-rigid modules, which were introduced by Auslander and Smalø in the early eighties and are generalizations of classical partial tilting modules, also came from cluster-tilting theory where the notion of tau-rigid appears naturally in connection with modules over 2-CY-tilted algebras. In order for mutation to be always possible one needs also take into account the notion of support tilting as introduced by Ingalls/ Thomas and Ringel. In this way we get that an almost complete support tau-tilting module (or to be exact, an almost complete support tau-tilting pair) over any finite dimensional algebra has two complements, i.e. mutation is always possible.en
dc.languageeng
dc.publisherNTNU
dc.subjectMatematikk, Algebraen
dc.titleTau-tilting Theory in Representation Theory of Finite Dimensional Algebrasen
dc.typeMaster thesisen
dc.source.pagenumber87
dc.contributor.departmentNorges teknisk-naturvitenskapelige universitet, Fakultet for informasjonsteknologi og elektroteknikk,Institutt for matematiske fagnb_NO
dc.date.embargoenddate10000-01-01


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