2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73870We 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 StevinRings and AlgebrasAlgebraic Geometry16H05, 16K50, 19C30, 16W22 (Primary) 16W20 (Secondary)Galois-Azumaya Extensions and the Brauer-Galois Group of a Commutative Ringtext