2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63469We associate a t-structure to a family of objects in D(A), the derived category of a Grothendieck category A. Using general results on t-structures, we give a new proof of Rickard's theorem on equivalence of bounded derived categories of modules. Also, we extend this result to bounded derived categories of quasi-coherent sheaves on separated divisorial schemes obtaining, in particular, Beilinson's equivalences.Proof of 6.5 clarified, to appear in Trans. A.M.S., 22 pagesRepresentation TheoryAlgebraic Geometry18E30;14F05; 16D90text