We discuss a relation between bicomplexes and integrable models, and consider
corresponding noncommutative (Moyal) deformations. As an example, a
noncommutative version of a Toda field theory is presented.Comment: 6 pages, 1 figure, LaTeX using amssymb.sty and diagrams.sty, to
appear in Proceedings of the 1999 Euroconference "Noncommutative geometry and
Hopf algebras in Field Theory and Particle Physics