GALOIS CORRESPONDENCES FOR PARTIAL GALOIS AZUMAYA EXTENSIONS

DOI10.1142/S0219498811004999zbMath1256.16012OpenAlexW2020164985MaRDI QIDQ3117906

Virgínia Rodrigues, Antonio Paques, Alveri Sant'Ana

Publication date: 1 March 2012

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498811004999

zbMATH Keywords

Azumaya algebrasGalois correspondencespartial skew group ringspartial group actionspartial Galois Azumaya extensions

Mathematics Subject Classification ID

Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Twisted and skew group rings, crossed products (16S35) Galois theory and commutative ring extensions (13B05)

Related Items (10)

The commutative inverse semigroup of partial abelian extensions ⋮ GLOBALIZATION OF TWISTED PARTIAL HOPF ACTIONS ⋮ On the induced partial action of a quotient group and a structure theorem for a partial Galois extension ⋮ On three special types of partial Galois extensions ⋮ On partial Galois algebras ⋮ The structure of a partial Galois extension ⋮ Partial group actions and partial Galois extensions ⋮ Recent developments around partial actions ⋮ Morita equivalence of partial group actions and globalization ⋮ The structure of a partial Galois extension II

Cites Work

• Partial actions and Galois theory
• Théorie de la descente et algèbres d'Azumaya
• On semisimple extensions and separable extensions over non commutative rings
• On galois extensions of an azumaya algebra
• Associativity of crossed products by partial actions, enveloping actions and partial representations
• Skew group rings which are azumaya
• Crossed Products by Twisted Partial Actions: Separability, Semisimplicity, and Frobenius Properties

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