Subcategory Classifications in Tensor Triangulated Categories
Master thesis
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http://hdl.handle.net/11250/258879Utgivelsesdato
2011Metadata
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Sammendrag
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.