The left and right dimensions of a skew field over the subfield of invariants

DOI10.1016/J.JALGEBRA.2017.03.015zbMath1459.16035OpenAlexW2601456110MaRDI QIDQ528510

Serge Skryabin

Publication date: 12 May 2017

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2017.03.015

zbMATH Keywords

Hopf algebrasinvariantsskew fieldsHopf module algebras

Mathematics Subject Classification ID

Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Infinite-dimensional and general division rings (16K40) Hopf algebras and their applications (16T05)

Related Items (1)

Subrings of invariants for actions of finite-dimensional Hopf algebras

Cites Work

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• Biinvertible actions of Hopf algebras
• Smash products, inner actions and quotient rings
• The Goldie theorem for \(H\)-semiprime algebras.
• Hopf Galois extensions, smash products, and Morita equivalence
• Irreducible actions and faithful actions of Hopf algebras
• Galois bimodules and integrality of PI comodule algebras over invariants.
• Invariants and rings of quotients of \(H\)-semiprime \(H\)-module algebras satisfying a polynomial identity.
• Quadratic Extensions of Skew Fields
• Projectivity and freeness over comodule algebras
• Artin's problem for skew field extensions
• The wedderburn-malcev theorem for comodule algebras

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