Functional Dependency Preservation Problem

I have a problem regarding decomposition of a relation. Suppose i have a relation R(A,B,C,D) with functional dependencies A->B, B->C, C->D, D->A.

Now I have divided this in the following three relations :
R1(AB), R2(BC), R3(CD).

My question: Is the functional dependency preserved in this decomposition? If yes, then How?