  The goal of the present paper is a short introduction to a general module
frame theory in C*-algebras and Hilbert C*-modules. The reported investigations
rely on the idea of geometric dilation to standard Hilbert C*-modules over
unital C*-algebras that possess orthonormal bases, and of reconstruction of the
frames by projections and other bounded module operators with suitable ranges.
We obtain frame representation and decomposition theorems, as well as
similarity and equivalence results. The relative position of two and more
frames in terms of being complementary or disjoint is investigated in detail.
In the last section some recent results by P. G. Casazza are generalized to our
setting. The Hilbert space situation appears as a special case. For detailled
proofs we refer to another paper also contained in the ArXiv.
