Galois-Azumaya extensions and the Brauer-Galois group of a commutative ring.

zbMath1135.16021arXivmath/0501254MaRDI QIDQ2469416

Philippe Nuss

Publication date: 5 February 2008

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0501254

zbMATH Keywords

Galois extensionsBrauer groupsquaternionsAzumaya algebrasnoncommutative rings

Mathematics Subject Classification ID

Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Automorphisms and endomorphisms (16W20) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Brauer groups (algebraic aspects) (16K50) Galois theory and commutative ring extensions (13B05) (K_2) and the Brauer group (19C30)

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