Smash products, inner actions and quotient rings

DOI10.2140/pjm.1986.125.45zbMath0553.16005OpenAlexW2039090617MaRDI QIDQ802002

Miriam Cohen

Publication date: 1985

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

Full work available at URL: https://doi.org/10.2140/pjm.1986.125.45

zbMATH Keywords

Hopf algebrascentralizersquotient ringsmodule algebrasX-inner automorphismsfinite-dimensional separable algebrasfully integral extensionsinner actions

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Localization and associative Noetherian rings (16P50) Centralizing and normalizing extensions (16S20)

Related Items (19)

Unnamed Item ⋮ Invariants and rings of quotients of \(H\)-semiprime \(H\)-module algebras satisfying a polynomial identity. ⋮ Maximal quotient algebra of a Hopf-module algebra ⋮ The Goldie theorem for \(H\)-semiprime algebras. ⋮ Prime kernel functors of hopf module algebras and their smash products ⋮ Remarks on rings of quotients ⋮ A Note on Inner Actions of Hopf Algebras ⋮ The left and right dimensions of a skew field over the subfield of invariants ⋮ Ideals and quotients in crossed products of Hopf algebras ⋮ Integrality for PI-rings ⋮ Martindale rings and \(H\)-module algebras with invariant characteristic polynomials. ⋮ The Connes Spectrum of Group Actions and Group Gradings for Certain Quotient Rings ⋮ On actions of Hopf algebras with cocommutative coradical ⋮ Hopf Algebras ⋮ Gabriel and Krull Dimensions of Modules Over Rings Graded by Finite Groups ⋮ Actions of cocommutative Hopf algebras ⋮ Subrings of invariants for actions of finite-dimensional Hopf algebras ⋮ Flatness of Noetherian Hopf algebras over coideal subalgebras ⋮ Hopf algebra actions and rational ideals

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