Verify that each of the following is not a ring.(a) The set FR under function addition
Chapter 14, Problem 14.2(choose chapter or problem)
Verify that each of the following is not a ring.(a) The set FR under function addition and function composition.(b) The set Z under the addition defined by a b = a and ordinary multiplication.(c) The set Z under ordinary addition and the multiplication defined by a b = a.(d) The set Z under the addition defined by ab = min{a, b} and ordinary multiplication.(e) The set Z under ordinary addition and the multiplication defined by ab = min{a, b}.
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