Decide about functional dependencies

Question

Consider relation R(ABCD) and FD = {AB->CD,C->A,D->B}. Which of the following is false?
(A) C->A is a partial dependency
(B) C->A is a transitive dependency
(C) D->B is a partial dependency
(D) All of these

Answer 1

D) All of these

Partial dependency means X->Y  where X is proper subset of a candidate key ie. X is a prime attribute and Y is a non prime attribute.

In the given Question,  A, B, C, D all are prime attributes so partial dependency doesn't exist.

and transitive dependency is when A->B  and B->C  then A->C is a transitive dependency , which also doesn't exist

Comments

why? option A and C are false because left hand sides have single attribute and option B is false since left hand side attribute C is a prime attribute. Are these the reasons?

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You can see the updated answer for explaination.