Irreducible actions and faithful actions of Hopf algebras

DOI10.1007/BF02764609zbMath0753.16017MaRDI QIDQ1173842

Miriam Cohen, Davida Fischman, Jeffrey Bergen

Publication date: 25 June 1992

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Hopf algebrasdimensiongroup actionssmash productsprime ringsfixed ringspolynomial identitiesactions by derivationscentral rings of invariantsfinite Goldie rank

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Automorphisms and endomorphisms (16W20) Derivations, actions of Lie algebras (16W25) Smash products of general Hopf actions (16S40)

Related Items

Central invariants ofH-module algebras, Semiinvariants for Hopf algebra actions, Finite dimensional Hopf actions on Weyl algebras, Invariants of Lie superalgebras acting on associative algebras, Auslander theorem for PI Artin-Schelter regular algebras, Skew derivations with algebraic invariants of bounded degree., Finite dimensional Hopf actions on deformation quantizations, Hopf Galois extensions, smash products, and Morita equivalence, IRREDUCIBLE ACTIONS AND COMPRESSIBLE MODULES, The left and right dimensions of a skew field over the subfield of invariants, Subrings of invariants for actions of finite-dimensional Hopf algebras, Semisimple Hopf actions on Weyl algebras, Pertinency of Hopf actions and quotient categories of Cohen-Macaulay algebras, Projectivity and freeness over comodule algebras, Actions of pointed Hopf algebras with reduced pi invariants, On yetter-drinfeld categories andH-commutativity

Cites Work

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• Hopf Galois extensions, smash products, and Morita equivalence
• Hopf algebra actions
• Smash products and outer derivations
• Constants of Lie algebra actions
• Integrals for Hopf algebras
• Prime rings satisfying a generalized polynomial identity
• H-Simple H-Module Algebras
• Automorphic-Differential Identities in Rings
• Central Fixed Rings
• Cohomology of Algebras Over Hopf Algebras
• Simplicity of Smash Products
• Rings with Fixed-Point-Free Group Actions
• Centralizers in rings