Dependency preserving decompostion

Question

A relation $R(ABCD)$ is given

FD set = $\{ AB\rightarrow CD , D\rightarrow A \}$

R1(ABC)

R2(AD)

R3(BCD)

Test Dependencies in R1, R2 ,R3 ?  Pls explain the solution in detail.....

Answer 1

not a Dependency preserving decompostion.

Comments

got it. thanks

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It is not even lossless, is it?

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yes it is lossy decomposition

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If we do it like this then? Is it correct?