The telescope conjecture for hereditary rings via Ext-orthogonal pairs

Authors: Henning Krause, Jan Stovicek

Abstract: For the module category of a hereditary ring, the Ext-orthogonal 
pairs of subcategories are studied. For each Ext-orthogonal pair that is 
generated by a single module, a 5-term exact sequence is constructed. The 
pairs of finite type are characterized and two consequences for the class of 
hereditary rings are established: homological epimorphisms and universal 
localizations coincide, and the telescope conjecture for the derived category 
holds true.