Partial (Co)Actions of Hopf Algebras and Partial Hopf-Galois Theory
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Publication:3525194
DOI10.1080/00927870802110334zbMath1168.16021arXivmath/0610524OpenAlexW2007916316MaRDI QIDQ3525194
Publication date: 11 September 2008
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0610524
Smash products of general Hopf actions (16S40) Galois theory and commutative ring extensions (13B05)
Related Items (52)
Partial actions of weak Hopf algebras on coalgebras ⋮ Enveloping Actions for Partial Hopf Actions ⋮ Globalization for geometric partial comodules ⋮ Partial Hopf module categories. ⋮ Crossed Products by Twisted Partial Actions: Separability, Semisimplicity, and Frobenius Properties ⋮ GLOBALIZATION OF TWISTED PARTIAL HOPF ACTIONS ⋮ On partial \(H\)-radicals of Jacobson type ⋮ Hopf categories ⋮ The category of partial Doi-Hopf modules and functors. ⋮ Enveloping actions and duality theorems for partial twisted smash products ⋮ Morita, Galois, and the trace map: a survey ⋮ Partial corepresentations of Hopf algebras ⋮ Weak quasi-entwining structures ⋮ Twisted partial actions of Hopf algebras. ⋮ Cohomology for partial actions of Hopf algebras ⋮ Dual constructions for partial actions of Hopf algebras. ⋮ Geometric partial comodules over flat coalgebras in abelian categories are globalizable ⋮ Partial Hopf-Galois theory ⋮ Partial actions of a Hopf algebra on its base field and the corresponding partial smash product algebra ⋮ Twisted partial coactions of Hopf algebras ⋮ Partial (co)actions of Taft and Nichols Hopf algebras on algebras ⋮ Partial generalized crossed products and a seven term exact sequence ⋮ Geometrically partial actions ⋮ A (partial) weak smash coproduct ⋮ Semientwining structures and their applications. ⋮ Partial actions of weak Hopf algebras: smash product, globalization and Morita theory. ⋮ Partial (Co)actions of multiplier Hopf algebras: Morita and Galois theories ⋮ Partial smash coproduct of multiplier Hopf algebras ⋮ SEPARABLE FUNCTORS FOR THE CATEGORY OF PARTIAL ENTWINED MODULES ⋮ Recent developments around partial actions ⋮ Partial representations of Hopf algebras ⋮ Cleft coextension for symmetric twisted partial coactions on coalgebras ⋮ Invertible Lax Entwining Structures and C-Cleft Extensions ⋮ Partial Actions on Categories ⋮ Lax entwining structures, groupoid algebras and cleft extensions. ⋮ The weak theory of monads ⋮ Morita equivalence of partial group actions and globalization ⋮ Partial actions of \(C^{*}\)-quantum groups ⋮ An Application of Rafael's Theorem over Partial Entwined Modules ⋮ Globalization of group cohomology in the sense of Alvares-Alves-Redondo ⋮ Globalizations for partial (co)actions on coalgebras ⋮ Multiplier Hopf algebras: Globalization for partial actions ⋮ Globalization of partial cohomology of groups ⋮ SIMPLICITY OF CROSSED PRODUCTS BY TWISTED PARTIAL ACTIONS ⋮ Description of partial actions ⋮ Hopf algebras arising from partial (co)actions ⋮ Dilations of partial representations of Hopf algebras ⋮ On generalized partial twisted smash products ⋮ On the globalization of geometric partial (co)modules in the categories of topological spaces and algebras ⋮ Morita Contexts and Partial Group Galois Extensions for Hopf Group Coalgebras ⋮ Morita context, partial Hopf Galois extensions and partial entwining structure. ⋮ Partial (co)actions of Taft and Nichols Hopf algebras on their base fields
Cites Work
- Frobenius and separable functors for generalized module categories and nonlinear equations
- Partial actions and Galois theory
- Coalgebra bundles
- On finite degree partial representations of groups.
- The structure of corings: induction functors, Maschke-type theorem, and Frobenius and Galois-type properties
- Morita theory for corings and cleft entwining structures.
- Partial representations and partial group algebras
- Separable algebras over commutative rings
- Twisted Partial Actions: A Classification of Regular C*-Algebraic Bundles
- Associativity of crossed products by partial actions, enveloping actions and partial representations
- Weak corings
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