Finitary Galois extensions over noncommutative bases.

DOI10.1016/j.jalgebra.2005.09.023zbMath1097.16012arXivmath/0412122OpenAlexW1990993134MaRDI QIDQ2490854

Imre Bálint, Szlachányi, Kornél

Publication date: 18 May 2006

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

Full work available at URL: https://arxiv.org/abs/math/0412122

zbMATH Keywords

Frobenius extensionsHopf-Galois extensionsYetter-Drinfeld categoriesdistributive double algebrasFrobenius Hopf algebroids

Mathematics Subject Classification ID

Related Items (11)

Corrigendum to ``Cleft extensions of Hopf algebroids. ⋮ Cleft extensions of Hopf algebroids. ⋮ Scalar extension of bicoalgebroids. ⋮ Scalar extension Hopf algebroids ⋮ Skew-monoidal categories and bialgebroids. ⋮ Monoidal ring and coring structures obtained from wreaths and cowreaths. ⋮ CENTRALIZERS AND INDUCTION ⋮ Hopf Algebroids ⋮ Galois and cleft monoidal cowreaths. Applications ⋮ Corrigendum to ``A Schneider type theorem for Hopf algebroids. ⋮ The Miyashita–Ulbrich Action for Weak Hopf Algebras

Cites Work

• Biinvertible actions of Hopf algebras
• Hopf Galois extensions, smash products, and Morita equivalence
• Galois extensions as functors of comodules
• Hopf-Galois extensions of algebras, the Miyashita-Ulbrich action, and Azumaya algebras
• Bialgebras over noncommutative rings and a structure theorem for Hopf bimodules
• Bialgebroid actions on depth two extensions and duality.
• Bialgebroids, \(\times_A\)-bialgebras and duality
• Hopf Galois theory for separable field extensions
• A Galois correspondence for \(II_1\) factors and quantum groupoids
• The structure of corings: induction functors, Maschke-type theorem, and Frobenius and Galois-type properties
• Hopf algebroids with bijective antipodes: axioms, integrals, and duals.
• Morita theory for corings and cleft entwining structures.
• The double algebraic view of finite quantum groupoids.
• Modules with decompositions that complement direct summands
• Hopf Algebroid Symmetry of Abstract Frobenius Extensions of Depth 2
• Catégories tannakiennes
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Finitary Galois extensions over noncommutative bases.