Classifying Subcategories in Quotients of Exact Categories - Classifying Triangulated and Thick Triangulated Subcategories of an Algebraic Triangulated Category
dc.contributor.advisor | Bergh, Petter Andreas | |
dc.contributor.author | Arentz-Hansen, Emilie B | |
dc.date.accessioned | 2018-03-21T15:00:50Z | |
dc.date.available | 2018-03-21T15:00:50Z | |
dc.date.created | 2017-12-15 | |
dc.date.issued | 2017 | |
dc.identifier | ntnudaim:14137 | |
dc.identifier.uri | http://hdl.handle.net/11250/2491568 | |
dc.description.abstract | The goal of this thesis is to prove a one-to-one correspondence between (thick) triangulated subcategories of the stable category associated with a Frobenius category and certain subcategories of the Frobenius category. The result is also generalized in the setting of an exact category and a quotient category. This thesis starts with an introduction to exact categories, quotient categories, Frobenius categories and the stable category of a Frobenius category. After this, the main results are explained and proved. Finally, a few applications are given. | |
dc.language | eng | |
dc.publisher | NTNU | |
dc.subject | Matematiske fag, Algebra | |
dc.title | Classifying Subcategories in Quotients of Exact Categories - Classifying Triangulated and Thick Triangulated Subcategories of an Algebraic Triangulated Category | |
dc.type | Master thesis |