2. Theorem B: Suppose A, B are submodules of M. PROVE: (A + B)/A≈ B/An B (that is, they are isomorphic as R-modules): Hint: Define a function f B →(A + B)/A and show your f is an onto R-module epimorphism, then use the FHT)

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A: .

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A: Given that The measure is monotone ob the ring,  So we need to consider the following;

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A: The characteristic of a finite ring R divides R

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A: we will prove it by contradiction, Suppose x belongs to Z  is the smallest element.

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Q: Q29: Define the Boolean ring. Is (Z,+,.) Boolean?

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A: Solution  False Detailed Explanation

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