Galoiserweiterungen von night-kommutativen ringen

DOI10.1080/00927878208822741zbMath0489.16026OpenAlexW2130828597MaRDI QIDQ3950699

K.-H. Ulbrich

Publication date: 1982

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927878208822741

zbMATH Keywords

centercentralizerAzumaya algebraGalois theoryHopf algebraseparable algebramaximal commutative subalgebraH-Galois extensionfinitely generated projective left moduleright comodule

Mathematics Subject Classification ID

Related Items (35)

Hopf Galois extensions, triangular structures, and Frobenius Lie algebras in prime characteris\-tic. ⋮ OUTER ACTIONS OF CENTRALIZER HOPF ALGEBRAS ON SEPARABLE EXTENSIONS ⋮ Quantum Yang-Baxter module algebras ⋮ A skolem-noether theorem for hopf algebra actions ⋮ Galois extensions as functors of comodules ⋮ Generalized crossed products and Azumaya algebras ⋮ HOPF MODULES, MIYASHITA-ULBRICH COACTIONS, AND MONOIDAL CENTER CONSTRUCTIONS ⋮ Equivalence theorems and Hopf-Galois extensions ⋮ Hopf-Galois extensions of algebras, the Miyashita-Ulbrich action, and Azumaya algebras ⋮ Hopf-Galois systems ⋮ Quantum principal bundles over quantum real projective spaces ⋮ Braided bi-Galois theory. II: The cocommutative case. ⋮ Hopf bimodules over hopf-galois extensions, miyashita-ulbrich actions, and monoidal center constructions ⋮ Bialgebroid actions on depth two extensions and duality. ⋮ Hopf Galois extensions, smash products, and Morita equivalence ⋮ The equivalence of various generalizations of group rings and modules ⋮ An exact sequence for the Brauer group of a finite quantum group. ⋮ Semisimple extensions and elements of trace 1 ⋮ Normal basis and transitivity of crossed products for Hopf algebras ⋮ Associative rings ⋮ Internal Kleisli categories ⋮ The monoidal center construction and bimodules ⋮ Forms of coalgebras and Hopf algebras ⋮ Hopf Algebras ⋮ Hopf algebra actions on strongly separable extensions of depth two ⋮ Galois correspondences for Hopf bigalois extensions ⋮ The Miyashita–Ulbrich Action for Weak Hopf Algebras ⋮ Invariants of finite Hopf algebras. ⋮ Extensions galoisiennes non commutatives :normalité cohomologie non abélienne ⋮ Centralizer theorems for Hopf type Galois extensions ⋮ Cocycle Deformations and Brauer Groups ⋮ Galois objects over generalized Drinfeld doubles, with an application to \(u_q({\mathfrak sl}_2)\) ⋮ On twisting of finite-dimensional Hopf algebras. ⋮ On yetter-drinfeld categories andH-commutativity ⋮ Principal homogeneous spaces for arbitrary Hopf algebras

Cites Work

• Group-graded rings and modules
• On a special type of Galois extensions
• Ext//ad(SpR,\(mu^ A)\)=Br(A/k)
• On projective H-separable extensions
• Galois algebras and Harrison cohomology
• Hopf algebras and Galois theory
• When Hopf algebras are Frobenius algebras
• Semisimple algebras over a commutative ring
• Über nicht-kommutative abelsche galoisalgebren
• On extensions of formal groups by μ^A
• Separable Extensions and Centralizers of Rings

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