1. (10 pts) Let Z[i] = { a+bi | a, b E Z}. Prove that Z[i] is a ring under the ordinary addition and multiplication of i
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1. (10 pts) Let Z[i] = { a+bi | a, b E Z}. Prove that Z[i] is a ring under the ordinary addition and multiplication of i
1. (10 pts) Let Z = { a+bi | a, b E Z}. Prove that Z is a ring under the ordinary addition and multiplication of integers.
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