Martindale rings and \(H\)-module algebras with invariant characteristic polynomials.

DOI10.1134/S003744661204009XzbMath1260.16026MaRDI QIDQ1760541

Mikhail S. Eryashkin

Publication date: 14 November 2012

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Hopf algebrasinvariant theoryFrobenius algebrasMartindale rings of quotientsadjoined functors

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Hopf algebras and their applications (16T05) Associative rings of fractions and localizations (16S85)

Related Items (4)

Invariants and rings of quotients of \(H\)-semiprime \(H\)-module algebras satisfying a polynomial identity. ⋮ Invariants of the action of a semisimple Hopf algebra on PI-algebra ⋮ Subrings of invariants for actions of finite-dimensional Hopf algebras ⋮ Galois bimodules and integrality of PI comodule algebras over invariants.

Cites Work

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• Invariants of the action of a semisimple finite-dimensional Hopf algebra on special algebras.
• Smash products, inner actions and quotient rings
• The Goldie theorem for \(H\)-semiprime algebras.
• On invariants of finite-dimensional pointed Hopf algebras
• Invariants of finite Hopf algebras.
• Integrality of module algebras over its invariants
• Projectivity and freeness over comodule algebras

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