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Suppose that we decompose the schema

R = {A, B, C, D, E} into

R1 = {A, B, C} and

R2 = {A, D, E}

Show that this decomposition is lossless join decomposition if the following set of functional dependencies hold

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1 Answer
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I. The decomposition of R into R1 and R2 can be called as lossless join decomposition if any one of the following conditions holds true:

  1. R1 ∩ R2 → R1

  2. R1 ∩ R2 → R2

II. R1 = (A, B, C), R2 = (A, D, E) ….Given

Hence, R1 ∩ …

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