Verify that each of the following is a ring by showing that (1) the indicated addition
Chapter 14, Problem 14.1(choose chapter or problem)
Verify that each of the following is a ring by showing that (1) the indicated addition andmultiplication are binary operations and (2) the required six properties are satisfied. (Youmay assume that both Z and R are rings under ordinary addition and multiplication.)(a) The set kZ, where k Z and k 2, under ordinary addition and multiplication.(b) The set Z[2] = {a + b2 : a, b Z} under ordinary addition and multiplication.
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