## A Galois theory for separable algebras |

### What people are saying - Write a review

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

### Common terms and phrases

algebraic number field assumption automorphisms of G B°-module isomorphism f Brauer group C-algebra isomorphism C-projective modules central separable C-algebra central simple algebra chapter class number commutative ring conjugation connected center connected semi-local ring containing F defined DeMeyer Denote direct summand example finite group finitely generated projective fixed ring free C-modules Galois correspondence Galois extension Galois theory group G group of automorphisms group of R-algebra H leaves H/HQ hence Hochschild's Homc(C ideal class inner automorphism isomorphic as C-modules KQ(C leaving C fixed left ideal Lemma matrices maximal ideals maximal order modules are free normal subgroup obtain principal ideal domain projective left A-modules projective R-module Proposition 1.4 R-algebra automorphisms R-separable Rad(A rank regular group regular R-subalgebra regular subgroup ring of integers satisfies SN separable field extension set of elements Skolem-Noether theorem split subgroup of G subring sufficiently regular Theorem 2.2 Theorem G unit of R(H