On actions of Hopf algebras with cocommutative coradical

DOI10.1016/S0022-4049(00)00087-6zbMath0980.16031MaRDI QIDQ5939606

Kostia I. Beidar, Blass Torrecillas Jover

Publication date: 13 November 2001

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

simple modulesJacobson radical\(H\)-module algebrasalgebras of invariantsfinite dimensional Hopf algebrasnilpotent ideals

Mathematics Subject Classification ID

Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Related Items (3)

Jacobson radicals of invariants under Hopf algebra actions ⋮ Konstantin Igorevich Beidar (1951-2004) ⋮ Actions of pointed Hopf algebras with reduced pi invariants

Cites Work

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• Determinants, integrality and Noether's theorem for quantum commutative algebras
• Biinvertible actions of Hopf algebras
• Smash products, inner actions and quotient rings
• Fixed rings of finite automorphism groups of associative rings
• Representation theory of Hopf Galois extensions
• Integral extensions of noncommutative rings
• Finite extensions are integral
• On invariants of finite-dimensional pointed Hopf algebras
• Finite generation of the invariants of finite dimensional Hopf algebras
• Semiinvariants for Hopf algebra actions
• Invariants of Hopf algebras
• On antipodes in pointed Hopf algebras
• Integrality of module algebras over its invariants
• Actions of Commutative Hopf Algebras
• Crossed Products of Semisimple Cocommutative Hopf Algebras
• Algebras with a separable subalgebra whose centralizer satisfies a polynomial identity
• FBN hopf module algebras
• Rings with Fixed-Point-Free Group Actions

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