Weakly tilting bimodules

Abstract. Tilting modules arose from representation theory of algebras and are known to furnish equivalences between categories of modules. We single out some weaker properties which still guaran- tee the existence of equivalences between abelian full subcategories of modules given by representable functors and their derived functors. For example, in this general framework and under suitable assumptions, we are able to prove a Gabriel-Popescu type theorem