Integrality of module algebras over its invariants

DOI10.1006/jabr.1996.0060zbMath0845.16039OpenAlexW2028690376MaRDI QIDQ1911642

Shenglin Zhu

Publication date: 3 June 1996

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

Full work available at URL: https://doi.org/10.1006/jabr.1996.0060

zbMATH Keywords

invariantsantipodefinite-dimensional Hopf algebracoradical filtrationcommutative \(H\)-module algebra

Mathematics Subject Classification ID

Related Items (12)

When is a smash product semiprime? A partial answer. ⋮ Invariants and rings of quotients of \(H\)-semiprime \(H\)-module algebras satisfying a polynomial identity. ⋮ The Lasker-Noether theorem for commutative and Noetherian module algebras over a pointed Hopf algebra. ⋮ Invariants of the action of a semisimple finite-dimensional Hopf algebra on special algebras. ⋮ New approaches to finite generation of cohomology rings ⋮ Determinants, integrality and Noether's theorem for quantum commutative algebras ⋮ Geometrically reductive Hopf algebras and their invariants. ⋮ Martindale rings and \(H\)-module algebras with invariant characteristic polynomials. ⋮ On actions of Hopf algebras with cocommutative coradical ⋮ Subrings of invariants for actions of finite-dimensional Hopf algebras ⋮ The \(kS_3\)-module algebra structures on \(M_3(k)\) ⋮ Invariants of finite Hopf algebras.

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