Answer by Paul Broussous for Converse of "generalized Hilbert 90" / Galois...
Let $R$ be a finite dimensional $L$-algebra with an action of ${\rm Gal}(L/K)$ such that $\sigma (\lambda .r)=\sigma (\lambda )\sigma (r)$, $\lambda\in L$, $r\in R$, $\sigma\in {\rm Gal}(L/K)$. Then if...
View ArticleConverse of "generalized Hilbert 90" / Galois descent
The following generalization of Hilbert 90 can be found in Serre's Corps Locaux (Chap. X, §1, ex.2, p.160 of the French edition), see also this question:Theorem: If $L|K$ is a finite Galois extension...
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