Question
Let $F$ be a field. Show that the field of quotients of $F$ is ringisomorphic to $F$.
Step 1
Define a map $\phi: F \to Q(F)$, where $Q(F)$ is the field of quotients of $F$. We can define this map as $\phi(a) = \frac{a}{1}$, where $a \in F$. Show more…
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