2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152196We study the noncommutative differential geometry of the algebra of endomorphisms of any SU(n)-vector bundle. We show that ordinary connections on such SU(n)-vector bundle can be interpreted in a natural way as a noncommutative 1-form on this algebra for the differential calculus based on derivations. We interpret the Lie algebra of derivations of the algebra of endomorphisms as a Lie algebroid. Then we look at noncommutative connections as generalizations of these usual connections.20 pages, LaTeX2e (use packages amstex, amssymb, theorem, a4, pb-diagram, lamsarrow)Differential Geometrytext