perfect field meaning in French

corps parfait

In this paper he axiomatically studies the properties of fields and defines important concepts like prime field, perfect field and the transcendence degree of a field extension.
Dans cet article, il étudie la théorie axiomatique des corps commutatifs et définit des concepts importants comme ceux de corps premier, corps parfait et degré de transcendance d'une extension de corps.
A quasi-finite field is a perfect field K together with an isomorphism of topological groups ϕ : Z ^ → Gal ⁡ ( K s / K ) , {\displaystyle \phi :{\hat {\mathbf {Z} }}\to \operatorname {Gal} (K_{s}/K),} where Ks is an algebraic closure of K (necessarily separable because K is perfect).
Un corps quasi-fini est un corps parfait K muni d'un isomorphisme de groupes topologiques. ϕ : Z ^ → Gal ⁡ ( K s / K ) ,