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

Philippe Nuss
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Abstract

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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BibTeXRIS

Philippe Nuss. 2005-01-17. Galois-Azumaya Extensions and the Brauer-Galois Group of a Commutative Ring. https://arxiv.org/abs/math/0501254

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