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For positive integers m and n such that nm, consider the map p(m,n) p(m, n): Um Un [x]m [x]n. (m, n) is a well-defined

For positive integers m and n such that nm, consider the map p(m,n) p(m, n): Um Un [x]m [x]n. (m, n) is a well-defined homomorphism. (a) Show that (b) Find Ker (36, 12) and Im (36, 12).

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