Question: Let R be a ring and let I, JCR be ideals. (a) Prove that I + J is an ideal, and is the smallest

Let R be a ring and let I, JCR be ideals. (a)

Let R be a ring and let I, JCR be ideals. (a) Prove that I + J is an ideal, and is the smallest ideal containing both I and J. (b) Prove that In J is an ideal. (c) Prove that I J is an ideal and that IJ INJ.

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