EZ Study

Actuarial Biology Chemistry Economics Calculators Confucius Engineer

Graduate Algebra Study Notes II-(14)

Key Words: Fields, Galois Theory, Spitting Fields, Algebraic Closure, Normality

Problem: Let F:K be an algebraic extension, and suppose K' is some field isomorphic to K by :by delta. F is an algebraic closure of K <==> F is algebraic over K and for every algebraic extension E of K', delta extends to a monomorphism E-->F.
Solution step by step: Click to download printable solution

Related solutions you might be intersted:
Continue to Next: 15. Proof of intermediate field, separable   Algebra Tutorial   Mathematics Analysis Tutorial
Back to : 13. Proof of algebraic closure, algebraic extension