More on the Frölicher-Nijenhuis bracket in noncommutative differential geometry Original Research Article

In commutative differential geometry the Frölicher-Nijenhuis bracket computes all kinds of curvatures and obstructions to integrability. In [1] the Frölicher-Nijenhuis bracket was developed for universal differential forms of noncommutative algebras, and several applications were given. In this paper this bracket and the Frölicher-Nijenhuis calculus will be developed for several kinds of differential graded algebras based on derivations, which were introduced in [6].