Exterior Derivations of High Order Universal Modules

In this thesis, second order Exterior derivations of universal modules defined on a unitary and commutative ring R , and second order Exterior derivations of Kahler modules defined and have been investigated on any ring X⊗Y. In addition, the homological structures of the modules have been examined and defined on the ring R and X⊗Y, which is the tensor multiplication of two rings with each other, and the original results about these modules structures have been obtained.