## Separable algebras and Galois theory |

### From inside the book

Try this search over all volumes: **Werte pk**

Results 1-0 of 0

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Common terms and phrases

a e F a e F\E AŽRB algebraic closure algebraic extension assertion AutgF automorphism basis closure of F commutative ring conditions are equivalent defined denote direct summand E-algebra map easily seen element separable F E F F into F F is normal field extension finite-dimensional following diagram commute Galois theory group map HomSet(S,F hypothesis imbedding independence of characters induced inner derivation irreducible polynomial isomorphism left A-module left ideal left Uop-module linear factors MŽRN magic element maximal ideal minimal length morphisms multiplication map nonzero element normal closure normal extension preceding theorem projective left projective modules PROOF pullback R-algebra isomorphism R-linear R-module map right T-module ring map root separable by Theorem separable extension separable polynomials separable R-algebra splits into linear splitting field subalgebra subfield Suppose f surjective tensor product U-U bimodule uŽlop)z UŽUop unique R-algebra map Uop-module map well-defined whence F