Denote by Zm = {[0]m [1]m,..., [m - 1]m} the ring of integers modulo m. Consider the rings R = Z24 and S = Z4 × Z6. Let 0 RS be the map defined by ([x]24) = ([x]4, [4x]6). (b) Is a homomorphism of rings? Explain.

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Q: Denote by Zm = {[0]m, [1]m, ..., [m1]m} the ring of integers modulo m. Consider the rings R = Z24…

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Q: = {[0]m [1]m, [m - 1]m} the ring of integers modulo m. Z4 XZ6. Let : RS be the map Denote by Zm…

A: To summarize:The image of (\theta) is the set of all pairs (([x]_4, [y]_6)) where ([y]_6) can be…

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