Question: 3. Let R be a ring. For a subset X C R, let (X) denote the ideal generated by X, i.e., the smallest ideal of

3. Let R be a ring. For a subset X C R, let (X) denote the ideal generated by X, i.e., the smallest ideal of R that contains X. In class we showed that x) =1 XcI is the intersection of all ideals of R that contain X. If X and Y are two subsets of R, prove that (X UY) = (X) + (V)

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