In this paper, the super Bi-Hamilton structures and the infinite conservation laws of the generalized super cKdV hierarchy are studied. This paper is divided into four parts:in the first part, the generalized super cKdV hierarchy associated with a3x3spectral prob-lem can be derived from the spectral problem; In the second part, the super Bi-Hamilton structures for the hierarchy are constructed by using the super trace identities; In the third part, the infinite conservation laws of the hierarchy are given; In the fourth part, a (2+1)-dimensional equation is obtained. |