Functional separation of inductive limits and representation of presheaves by sections. Part II. Embedding of presheaves into presheaves of compact spaces
On pure global dimension of locally finitely presented Grothendieck categories
On pure semi-simple Grothendieck categories I
On pure semi-simple Grothendieck categories II
Topological categories containing any category of algebras
Triangulated categories of periodic complexes and orbit categories
We investigate the triangulated hull of orbit categories of the perfect derived category and the bounded derived category of a ring concerning the power of the suspension functor. It turns out that the triangulated hull corresponds to the full subcategory of compact objects of certain triangulated categories of periodic complexes. This specializes to Stai and Zhao’s result on the finite dimensional algebra of finite global dimension. As the first application, if , are flat algebras over a commutative...