Galois-Azumaya Extensions and the Brauer-Galois Group of a Commutative Ring

Details Galois-Azumaya Extensions and the Brauer-Galois Group of a Commutative Ring Galois-Azumaya Extensions and the Brauer-Galois Group of a Commutative Ring

2005-01-17

arxiv.org/abs/math/0501254v1

Mathematics

Rings and Algebras

24 pages, to be published in Bull. Soc. Math. Belg. Simon Stevin

Scientific paper

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.

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