Remarks on Tannaka recovery of coalgebras Original Research Article

In virtue of some highly generalized Tannaka–Krein-type reconstruction theorems, it is natural to ask which functors image are equivalent to the forgetful functor image for some image-Hopf-algebra H. We will study in this paper the question whether Comod(coend(F)) congruent with C when F=UC for a coalgebra C and image is a module category over a ring.