Suppose char F = 0.Then F contains a subring S such that SZ (i.e. there is an isomorphism f: S→ Z). Now, let T = {ab-¹ | a, b = S, b# 0} and define the map g: T→Q by g(ab-¹)= f(a) f(b) Show that g is an isomorphism so that T ≤ F is isomorphic to Q.

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