Actions of pointed hopf algebras on prime algebras

DOI10.1080/00927879508825223zbMath0827.16027OpenAlexW1990260882MaRDI QIDQ4324254

Alexander Milinski

Publication date: 26 February 1995

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

Full work available at URL: https://doi.org/10.1080/00927879508825223

zbMATH Keywords

prime algebrasderivationssmash productsmultilinear identitiesHopf algebra actionspointed Hopf algebrasdifferential identitiesMartindale ring of quotients\(X\)-inner automorphisms\(X\)-outer actionssubring of invariantsautomorphisms of prime ringsprime Hopf module algebrasskew- derivations

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Derivations, actions of Lie algebras (16W25) Smash products of general Hopf actions (16S40)

Related Items (max. 100)

A Hopf-Galois correspondence for free algebras. ⋮ Hopf module duality applied to X-outer Galois theory. ⋮ Correspondence theory of kharchenko and x-outer actions of pointed hopf algebras ⋮ Right coideal subalgebras of a bosonization of the Fomin–Kirillov algebra FK3 ⋮ Primeness of the enveloping algebra of Hamiltonian superalgebras ⋮ Right coideal subalgebras in \(U_q(\mathfrak{sl}_{n+1})\) ⋮ Actions of Hopf Algebras in Categories of Yetter-Drinfeld Modules ⋮ Hopf Algebras ⋮ More about a Galois-type correspondence theory ⋮ Right coideal subalgebras of the quantum Borel algebra of type \(G_2\) ⋮ A Galois-type correspondence theory for actions of finite-dimensional pointed Hopf algebras on prime algebras ⋮ On yetter-drinfeld categories andH-commutativity

Cites Work

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• Biinvertible actions of Hopf algebras
• The diagonal of a pointed coalgebra and incidence-like structure
• Smash products and outer derivations
• Ideals and quotients in crossed products of Hopf algebras
• On inner actions of Hopf algebras and stabilizers of representations
• On antipodes in pointed Hopf algebras
• Prime rings satisfying a generalized polynomial identity
• (S)-derivations algebriques sur les corps gauches et sur les anneaux premiers
• Skew derivations of prime rings
• Semiprime skew group rings

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