Hopf algebra actions
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Publication:1074692
DOI10.1016/0021-8693(86)90082-7zbMath0591.16005OpenAlexW2016903768MaRDI QIDQ1074692
Publication date: 1986
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-8693(86)90082-7
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Related Items (60)
Smash products and outer derivations ⋮ When is a smash product semiprime? A partial answer. ⋮ Central invariants ofH-module algebras ⋮ Actions of the dipper-donkin quantizationGL2on the clifford algebraC(l,3) ⋮ Unnamed Item ⋮ Semiprime smash products and $H$-stable prime radicals for PI-algebras ⋮ Maschke-Type Theorem, Duality Theorem, and the Global Dimension for Weak Crossed Products ⋮ Maximal quotient algebra of a Hopf-module algebra ⋮ A Maschke type theorem for Doi-Hopf modules and applications ⋮ Rota–Baxter paired comodules and Rota–Baxter paired Hopf modules ⋮ Duality theorems for rings with actions or coactions ⋮ The Goldie theorem for \(H\)-semiprime algebras. ⋮ Hopf algebra coactions ⋮ Constants of Lie algebra actions ⋮ Maschke-type theorem and Morita context over weak Hopf algebras. ⋮ Gorenstein subrings of invariants under Hopf algebra actions. ⋮ Jacobson radicals of invariants under Hopf algebra actions ⋮ Hopf algebra constructions and representation theory ⋮ Commuting Hopf–Galois structures on a separable extension ⋮ On Hopf Galois extension of separable algebras ⋮ The Morita contexts and galois extensions for weak Hopf group coalgebras ⋮ Galois extensions for co-Frobenius Hopf algebras ⋮ The global dimension of L-R twisted smash products. ⋮ Prime kernel functors of hopf module algebras and their smash products ⋮ Rota-Baxter paired modules and their constructions from Hopf algebras ⋮ Structure of \(H\)-semiprime Artinian algebras. ⋮ Hopf Galois extensions, smash products, and Morita equivalence ⋮ Cosemisimple hopf algebras coacting on coalgebras ⋮ Splitting of the radical in finite-dimensional H-module algebras ⋮ Irreducible actions and faithful actions of Hopf algebras ⋮ A NOTE ON THE GLOBAL DIMENSION OF SMASH PRODUCTS ⋮ Quantum groupoids acting on semiprime algebras. ⋮ Invariant subrings and Jacobson radicals of Noetherian Hopf module algebras. ⋮ Universal enveloping algebras of generalized Poisson-Ore extensions ⋮ Semisimple extensions and elements of trace 1 ⋮ Integrals for monoidal Hom-Hopf algebras and their applications ⋮ SMASH PRODUCTS, SEPARABLE EXTENSIONS AND A MORITA CONTEXT OVER HOPF ALGEBROIDS ⋮ PRIME ELEMENTS IN PARTIALLY ORDERED GROUPOIDS APPLIED TO MODULES AND HOPF ALGEBRA ACTIONS ⋮ Quasitriangular Structures for a Class of Hopf Algebras of Dimensionp6 ⋮ Hopf Algebras ⋮ Quasi-hopf algebra actions and smash products ⋮ Crossed Products and Inner Actions of Hopf Algebras ⋮ Crossed Products of Semisimple Cocommutative Hopf Algebras ⋮ Subrings of invariants for actions of finite-dimensional Hopf algebras ⋮ Biproducts and Kashina's Examples ⋮ Prime ideals in Hopf Galois extensions ⋮ Representations of skew group algebras induced from isomorphically invariant modules over path algebras. ⋮ Morita Contexts, π-Galois Extensions for Hopf π-Coalgebras ⋮ On Twisted Smash Products of Monoidal Hom–Hopf Algebras ⋮ Radicals of \(H\)-module algebras ⋮ The \(kS_3\)-module algebra structures on \(M_3(k)\) ⋮ A sufficient condition for a smash product to be a transfinite left free normalizing extension and its application ⋮ Stabilizer for hopf algebra actions ⋮ PRIME AND SEMIPRIME QUANTUM LINEAR SPACE SMASH PRODUCTS ⋮ Separable functors for the category of Doi-Hopf modules, applications ⋮ Spectra of smash products ⋮ The semisimplicity of smash products of quantum commutative algebras ⋮ On yetter-drinfeld categories andH-commutativity ⋮ Actions ofGLq(2,C) onC(1,3) and its four dimensional representations ⋮ Theory of braided Hopf crossed products
Cites Work
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- It's essentially Maschke's theorem
- A duality theorem for Hopf module algebras
- Fixed rings of finite automorphism groups of associative rings
- Fixed rings and integrality
- A Morita context related to finite automorphism groups of rings
- A Jacobson radical for Hopf module algebras
- Normal radicals and normal classes of rings
- Integrals for Hopf algebras
- Rings of quotients and Morita contexts
- Group-Graded Rings, Smash Products, and Group Actions
- Group graded rings
- Observations on group rings
- An Associative Orthogonal Bilinear Form for Hopf Algebras
- Simplicity of Smash Products
- Rings with Fixed-Point-Free Group Actions
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