2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/168718We generalize the definition of satellites with respect to presheaves (and copresheaves) with trace in the sense of Inassaridze; a presheaf with trace is replaced by a graph with a pair of diagrams defined on it. We show that the right satellite functor is left adjoint to the left satellite functor, and that a functor having a right (left) adjoint preserves right (left) satellites. In particular cases the construction of satellites is given.3 + 1 pages; translated by Jone Intxaurraga Larranaga and Tim Van der Linden with the help of Alexander Frolkin and Julia Goedecke; with author's remarksAlgebraic TopologyCategory Theory18E25; 18G10text