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(Solved): 2. Let :RS be a ring homomorphism. (a) Show that :(R,+)(S,+) is a group homomorphism. (b) ...



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2. Let be a ring homomorphism. (a) Show that is a group homomorphism. (b) Show that is a group homomorphism. Make sure you check that the codomain of is indeed and not just . (c) Show that if , then .


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