Consider the following decompositions for the relation schema R of Exercise 15.24. Determine whether each decomposition has (1) the dependency preservation property, and (2) the lossless join property, with respect to F.
Also determine which normal form each relation in the decomposition is in.
a. D1 = {R1, R2, R3, R4, R5}; R1 = {A, B, C} , R2 = {A, D, E} , R3 = {B, F}, R4 = {F, G, H}, R5 = {D, I, J}
b. D2 = {R1, R2, R3}; R1 = {A, B, C, D, E}, R2 = {B, F, G, H}, R3 = {D, I, J}
c. D3 = {R1, R2, R3, R4, R5}; R1 = {A, B, C, D}, R2 = {D, E}, R3 = {B, F}, R4 = {F, G, H}, R5 = {D, I, J}