Displaying similar documents to “Chain complexes and stable categories.”

Refining thick subcategory theorems

Sunil K. Chebolu (2006)

Fundamenta Mathematicae


We use a K-theory recipe of Thomason to obtain classifications of triangulated subcategories via refining some standard thick subcategory theorems. We apply this recipe to the full subcategories of finite objects in the derived categories of rings and the stable homotopy category of spectra. This gives, in the derived categories, a complete classification of the triangulated subcategories of perfect complexes over some commutative rings. In the stable homotopy category of spectra we...