2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/99821A quasi-coherent ringed scheme is a pair (X,A), where X is a scheme, and A is a noncommutative quasi-coherent O_X-ring. We introduce dualizing complexes over quasi-coherent ringed schemes and study their properties. For a separated differential quasi-coherent ringed scheme of finite type over a field, we prove existence and uniqueness of a rigid dualizing complex. In the proof we use the theory of perverse coherent sheaves in order to glue local pieces of the rigid dualizing complex into a global complex.36 pages, AMSLaTeX. Final version, to appear in Selecta Math. (minor changes)Algebraic GeometryRings and Algebras(MSC 2000) Primary: 14A22; Secondary: 14F05, 14J32, 16E30, 16D90, 18E30text