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The relation R (A B C D E) is given with following functional dependencies

A->BC

CD->E

B->D

E->A

CANDIDATE KEYS ARE-(A,E,CD,BC)

IF WE DECOMPOSE IT INTO BCNF, WILL THIS BE FUNCTIONAL DEPENDENCY PRESERVING???
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NO, it's not preserving  dependency CD->E.

because, on decomposition schema R1={A,B,C,E},R2={B,D}.
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