dc.contributor.advisor | Solberg, Øyvind | nb_NO |
dc.contributor.author | Lian, Tea Sormbroen | nb_NO |
dc.date.accessioned | 2014-12-19T13:59:58Z | |
dc.date.available | 2014-12-19T13:59:58Z | |
dc.date.created | 2012-11-10 | nb_NO |
dc.date.issued | 2012 | nb_NO |
dc.identifier | 566983 | nb_NO |
dc.identifier | ntnudaim:8310 | nb_NO |
dc.identifier.uri | http://hdl.handle.net/11250/259082 | |
dc.description.abstract | An artin algebra $l$ over a commutative, local, artinian ring $R$ was fixed, and with this foundation some topics from representation theory were discussed. A series of functors of module categories were defined, and almost split sequences were introduced with some basic results. An isomorphism $omega_{delta,X} : D delta^* rightarrow delta_*(DTr(X))$ of $Gamma$-modules for an artin $R$-algebra $Gamma$ was constructed. The isomorphism $omega_{delta,X}$ was applied to a special case, yielding a deterministic algorithm for computing almost split sequences in the case that $R$ is a field. | nb_NO |
dc.language | eng | nb_NO |
dc.publisher | Institutt for matematiske fag | nb_NO |
dc.subject | ntnudaim:8310 | no_NO |
dc.subject | MTFYMA fysikk og matematikk | no_NO |
dc.subject | Industriell matematikk | no_NO |
dc.title | Computing Almost Split Sequences: An algorithm for computing almost split sequences of finitely generated modules over a finite dimensional algebra | nb_NO |
dc.type | Master thesis | nb_NO |
dc.source.pagenumber | 122 | nb_NO |
dc.contributor.department | Norges teknisk-naturvitenskapelige universitet, Fakultet for informasjonsteknologi, matematikk og elektroteknikk, Institutt for matematiske fag | nb_NO |