2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/69698We propose the notion of stability on a triangulated category that is a generalization of the T.Bridgeland's stability data. We establish connections between stabilities and t-structures on a category and as application we get the classification of bounded t-structures on the bounded derived category of coherent sheaves on a line.30 pp, uses diagrams.sty by P.TaylorAlgebraic GeometryCategory Theory14F05;13D30;13D99text