Bialgebra cyclic homology with eoefficients

We show that one can extend the definition of Hopf cyclic homology with coefficients such that one can use bialgebras and a larger class of coefficient module/comodules. With the help of this extension, we calculate the bialgebra cyclic homology Uq(햌) of the quantum deformation of an arbitrary semi-simple Lie algebra 햌 and 퓗(N) the Hopf algebra of foliations of codimension N, with several coefficient modules.