A Cohomological Approach to the Brauer-Long Group and the Groups of Galois Extensions and Strongly Graded Rings
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Publication:5202283
DOI10.2307/2001740zbMath0724.13003OpenAlexW4233635230MaRDI QIDQ5202283
Beattie, Margaret, Stefaan Caenepeel
Publication date: 1991
Full work available at URL: https://doi.org/10.2307/2001740
Brauer groups of schemes (14F22) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Galois theory and commutative ring extensions (13B05)
Related Items (11)
Quadratic forms with values in invertible modules ⋮ Some invariants for equivalent \(G\)-algebras ⋮ The Brauer-Long group of \({\mathbb{Z}}/p^ t{\mathbb{Z}}\)-dimodule algebras ⋮ The picard group of a category of graded modules ⋮ The Brauer group of Yetter-Drinfel’d module algebras ⋮ A Note on Inner Actions of Hopf Algebras ⋮ Computing the Brauer-Long group of a Hopf algebra. II: The Skolem-Noether theory ⋮ Equivariant central simple graded algebras and the equivariant Brauer-Wall group. ⋮ Computing the Brauer-Long group of a Hopf algebra. I: The cohomological theory ⋮ A Brauer-Clifford-long group for the category of dyslectic \((S, H)\)-dimodule algebras ⋮ The Brauer group of some quasitriangular Hopf algebras.
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