Elementary Statements Over Large Algebraic Fields
Elementary Statements Over Large Algebraic Fields
We prove here the following theorems: A. If k is a denumerable Hilbertian field then for almost all $({\sigma _1}, \ldots ,{\sigma _e}) \in \mathcal {G}{({k_s}/k)^e}$ the fixed field of $\{ {\sigma _1}, \ldots ,{\sigma _e}\} ,{k_s}({\sigma _1}, \ldots ,{\sigma _e})$, has the following property: For any non-void absolutely irreducible …