It is known that the thick tensor-ideal subcategories in a tensor triangulated cate-gory can be classified via its prime ideal spectrum.We use this to provide new proofs of two well-known classifications theorems:that of the thick tensor-closed triangulated subcategories of the stable category ofmodules over a finite group algebra, and that of the thick triangulated subcategoriesof the derived category of perfect complexes over a commutative Noetherian ring.
| Identifer | oai:union.ndltd.org:UPSALLA1/oai:DiVA.org:ntnu-12938 |
| Date | January 2011 |
| Creators | Sigstad, Henrik |
| Publisher | Norges teknisk-naturvitenskapelige universitet, Institutt for matematiske fag, Institutt for matematiske fag |
| Source Sets | DiVA Archive at Upsalla University |
| Language | English |
| Detected Language | English |
| Type | Student thesis, info:eu-repo/semantics/bachelorThesis, text |
| Format | application/pdf |
| Rights | info:eu-repo/semantics/openAccess |
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