Invariants of the action of a semisimple Hopf algebra on PI-algebra

DOI10.3103/S1066369X1608003XzbMath1359.16031MaRDI QIDQ328763

Mikhail S. Eryashkin

Publication date: 21 October 2016

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

Hopf algebracoradicalintegral extensionPI-algebrasubalgebra of invariants

Mathematics Subject Classification ID

Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20) Hopf algebras and their applications (16T05)

Related Items (2)

Rationality of Hilbert series in noncommutative invariant theory ⋮ Subrings of invariants for actions of finite-dimensional Hopf algebras

Cites Work

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• Structure of \(H\)-semiprime Artinian algebras.
• Invariants of the action of a semisimple finite-dimensional Hopf algebra on special algebras.
• Integrality and prime ideals in fixed rings of P.I. rings
• The nilpotency of the radical in a finitely generated P.I. ring
• Pointed Hopf actions on fields. I.
• Finite dimensional cosemisimple Hopf algebras in characteristic 0 are semisimple
• Integrality for PI-rings
• Integral extensions of rings satisfying a polynomial identity
• Martindale rings and \(H\)-module algebras with invariant characteristic polynomials.
• Prime ideals in Hopf Galois extensions
• Invariants of finite Hopf algebras.
• Galois bimodules and integrality of PI comodule algebras over invariants.
• Characters of Hopf algebras
• Invariants and rings of quotients of \(H\)-semiprime \(H\)-module algebras satisfying a polynomial identity.
• STABLE JACOBSON RADICALS AND SEMIPRIME SMASH PRODUCTS
• Semisimple Cosemisimple Hopf Algebras
• Actions of Hopf algebras
• Semiprime smash products and $H$-stable prime radicals for PI-algebras

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