The Coribbon Structures Over The Minimal Connected Hopf Quivers

In this paper,we study the coribbon structures of some certain Hopf al-gebras. Let Q(G, R) be a Hopf quiver, then the path coalgcbra kQ admits a graded Hopf algebra structure H. In the first part, when Q are the minimal connected Hopf quivers and G is cyclic group,we study the coribbon struc-ture of the corresponding Hopf algebras H, and gain a conclusion that the coribbon structures of H are trivial.In the second part of this paper, we com-pute the coribbon structures of three special algebras, generalized Taft algebra C2(n,-1),H(m, n, q), E(n, m).