2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68605We give examples of pairs (G1,G2) where G1 is a Grothendieck category and G2 a full Grothendieck subcategory of G1, the inclusion G2 --> G1 being denoted i, for which R^+i : D^+G2 --> D^+G1 (or even Ri : DG2 --> DG1) is a full embedding. This yields generalizations of some results of Bernstein and Lunts, and of Cline, Parshall and Scott.11 pages, LaTeX, minor changesCategory TheoryGrothendieck categories and support conditionstext