This paper presents our experiments in providing mechanisms for parametric polymorphism for computer algebra software components. Specific interfaces between Aldor and C++ and between Aldor and Maple are described. We then present a general solution, Generic IDL (GIDL), an extension to CORBA IDL supporting generic types. We describe our language bindings for C++, Java 1.5 and Aldor as well as aspects of our implementation, consisting of a GIDL to IDL compiler and tools for generating interface code for the various language bindings.