2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/144554We define the notion of universal lift of a projective complex based on non-commutative parameter algebras, and prove its existence and uniqueness. We investigate the properties of parameter algebras for universal lifts.56 pagesAlgebraic GeometryCommutative Algebra13D10; 14B12; 14B20text