Let $ L|K$ be a finite separable extension. Denote the algebraic closure of $ K$ by $ \bar K$ . $ \forall x\in L$ , denote $ d=[L:K(x)]$ and $ m=[K(x):K]$ . How to show the set $ \operatorname{Hom}_K(L,\bar{K})$ of all $ K$ -embeddings of $ L$ is partitioned by the equivalence relation $ $Read more