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4. Consider the relation schema R(ABCDE) with the set of functional dependencies F={B→E, A→B, DE→C, D→A,...

4. Consider the relation schema R(ABCDE) with the set of functional dependencies F={B→E, A→B, DE→C, D→A, C→AE}. For the following relations resulting from a possible decomposition of R, identify the non-trivial functional dependencies which can be projected to each of the decomposed relations.

a) S(ABC)

b) T(BCE)

c) U(ABDE

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