2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152020In commutative differential geometry the Frölicher-Nijenhuis bracket computes all kinds of curvatures and obstructions to integrability. In \cit!{3} the Frölicher-Nijenhuis bracket was developped for universal differential forms of non-commutative algebras, and several applications were given. In this paper this bracket and the Frölicher-Nijenhuis calculus will be developped for several kinds of differential graded algebras based on derivations, which were indroduced by \cit!{6}.AmSTeX, 28 pages, ESI Preprint 133Differential GeometryThe Frölicher-Nijenhuis bracket for derivation based non commutative differential formstext