dc.contributor.advisor | Solberg, Øyvind | nb_NO |
dc.contributor.author | Toft, Tea | nb_NO |
dc.date.accessioned | 2014-12-19T13:58:59Z | |
dc.date.available | 2014-12-19T13:58:59Z | |
dc.date.created | 2011-06-29 | nb_NO |
dc.date.issued | 2011 | nb_NO |
dc.identifier | 427899 | nb_NO |
dc.identifier | ntnudaim:5832 | nb_NO |
dc.identifier.uri | http://hdl.handle.net/11250/258876 | |
dc.description.abstract | Let R be a connected selfinjective Artin algebra. We prove that any almost split sequence ending at an Omega-perfect R-module of finite complexity has at most four non-projective summands in a chosen decomposition of the middle term into indecomposable modules. Moreover, we show that a chosen decomposition into indecomposable modules of the middle term of an almost split sequence ending at an R-module of complexity 1 lying in a regular component of the Auslander-Reiten quiver has at most two summands. Furthermore, we prove that the regular component is of type ZA_{infinity} or ZA_{infinity}/. We use this to study modules with eventually constant and eventually periodic Betti numbers. | nb_NO |
dc.language | eng | nb_NO |
dc.publisher | Institutt for matematiske fag | nb_NO |
dc.subject | ntnudaim:5832 | no_NO |
dc.subject | MMA matematikk | no_NO |
dc.subject | Algebra | no_NO |
dc.title | Auslander-Reiten components containing modules of finite complexity | nb_NO |
dc.type | Master thesis | nb_NO |
dc.source.pagenumber | 132 | nb_NO |
dc.contributor.department | Norges teknisk-naturvitenskapelige universitet, Fakultet for informasjonsteknologi, matematikk og elektroteknikk, Institutt for matematiske fag | nb_NO |