2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/127052These notes are meant to provide a rapid introduction to triangulated categories. We start with the definition of an additive category and end with a glimps of tilting theory. Some exercises are included.Lecture notes. To appear in the proceedings volume of the "International Workshop on Noncommutative Geometry", IPM, Tehran 2005K-Theory and HomologyAlgebraic Geometrytext