Galois-Azumaya Extensions and the Brauer-Galois Group of a Commutative Ring
Abstract
Description
We attach to any commutative ring R a subgroup of the Brauer group of R, called the Brauer-Galois group of R. Its elements are the classes of the Azumaya R-algebras which can be represented, via Brauer equivalence, by a Galois extension of R. We compute this group for some particular commutative fields.
24 pages, to be published in Bull. Soc. Math. Belg. Simon Stevin
24 pages, to be published in Bull. Soc. Math. Belg. Simon Stevin