2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71889We consider the local to global principle for detecting linear dependence of points in groups of the Mordell-Weil type. As applications of our general setting we obtain corresponding statements for Mordell-Weil groups of non{-}CM elliptic curves and some higher dimensional abelian varieties defined over number fields, and also for odd dimensional K-groups of number fields.This is a revised version of the MPI preprint no. 14 from March 2003Number TheoryAlgebraic Geometry11G10, 14K15, 14L15text