I'm looking for a source where I can look up for the proofs of certain fancy statements regarding Galois extensions of fraction fields of Dedekind rings. That is let $R$ be a Dedekind ring with fraction field $F=Frac(R)$ and $F \subset E$ a finite Galois extension and $A$ integral closure of $R$ in $E$.
The statements I'm looking for are:
1) $A$ is also Dedekind ring
2) $A$ is finite $R$ module and flat
3) there exist a $f \in R$ such that the localization $R[f] \subset A[f]$ is etale
I know proofs for 1) and 2) if we everywhere replace "Dedekind" by discrete valuation ring. Can it reduced to this case? ie if we can show that for all primes $\frak{p} \subset $ $R$ after localizations 1) and 2) holds for $R_{\frak{p}} \subset A_{\frak{p}}$ then it also holds for $R \subset A$. Does this strategy make sense?