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Let Q be the set {(a, b) ∶ a ∈ Z and b ∈ N}. Define...

Let Q be the set {(a, b) ∶ a ∈ Z and b ∈ N}.

Define addition on Q by (a, b) + (c, d) = (ad + bc, bd) and define multiplication by (a, b) ⋅ (c, d) = (ac, bd).

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