The Stacks project

Exercise 111.7.3. Find a pair $(A, f)$ where $A$ is a domain with three or more pairwise distinct primes and $f \in A$ is an element such that the principal localization $A_ f = \{ 1, f, f^2, \ldots \} ^{-1}A$ is a field.

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View Exercise 111.7.3 as pdf