Abstract
For any commutative ring $R$, we introduce a group attached to $R$, the {\em Brauer-Galois group of $R$}, defined to be the subgroup of the Brauer group of $R$ consisting of 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 rings.
Citation
Philippe Nuss. "Galois-Azumaya extensions and the Brauer-Galois group of a commutative ring." Bull. Belg. Math. Soc. Simon Stevin 13 (2) 247 - 270, June 2006. https://doi.org/10.36045/bbms/1148059461
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