dc.contributor.advisor | Solberg, Øyvind | nb_NO |
dc.contributor.author | Friis, Pernille | nb_NO |
dc.date.accessioned | 2014-12-19T13:58:44Z | |
dc.date.available | 2014-12-19T13:58:44Z | |
dc.date.created | 2011-02-07 | nb_NO |
dc.date.issued | 2010 | nb_NO |
dc.identifier | 395660 | nb_NO |
dc.identifier | ntnudaim:5264 | nb_NO |
dc.identifier.uri | http://hdl.handle.net/11250/258789 | |
dc.description.abstract | In this thesis Koszul algebras and their modules, so called linear modules, are introduced. In order to do so, graded $K$-algebras, where $K$ is a field, are also defined and discussed. Furthermore, an isomorphism between split basic finitely $1$-generated graded modules and a path algebra $KGamma/I$ is proved. Linear resolutions are discussed as a preliminary for Koszul algebras. Lastly, the Yoneda algebra $E(Lambda)$ is studied more closely in the case when $Lambda$ is Koszul. | nb_NO |
dc.language | eng | nb_NO |
dc.publisher | Institutt for matematiske fag | nb_NO |
dc.subject | ntnudaim:5264 | no_NO |
dc.subject | MMA matematikk | no_NO |
dc.subject | Algebra | no_NO |
dc.title | Koszul Algebras and Linear Modules: An introduction to the theory of Koszul algebras and linear modules. | nb_NO |
dc.type | Master thesis | nb_NO |
dc.source.pagenumber | 39 | nb_NO |
dc.contributor.department | Norges teknisk-naturvitenskapelige universitet, Fakultet for informasjonsteknologi, matematikk og elektroteknikk, Institutt for matematiske fag | nb_NO |