A Galois-type correspondence theory for actions of finite-dimensional pointed Hopf algebras on prime algebras

DOI10.1006/jabr.1999.7864zbMath0936.16039OpenAlexW2014741139MaRDI QIDQ1305445

Sara Westreich

Publication date: 7 December 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1999.7864

zbMATH Keywords

prime algebrasrestricted Lie algebrasfinite-dimensional Hopf algebrasGalois correspondencesMartindale rings of quotients\(X\)-outer actionsrationally complete intermediate subalgebrasright subcomodule algebras

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Automorphisms and endomorphisms (16W20) Galois correspondences, closure operators (in relation to ordered sets) (06A15)

Related Items

A Hopf-Galois correspondence for free algebras. ⋮ Hopf module duality applied to X-outer Galois theory. ⋮ Hopf Algebras ⋮ More about a Galois-type correspondence theory

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Outer Galois theory of prime rings
• \(X\)-inner objects for Hopf crossed products
• On Hopf algebras with cocommutative coradicals
• On inner actions of Hopf algebras and stabilizers of representations
• On antipodes in pointed Hopf algebras
• Infinite Crossed Products and Group-Graded Rings
• Freeness of hopf algebras over coideal subalgebras
• Skew derivations of prime rings
• Actions of pointed hopf algebras on prime algebras
• Correspondence theory of kharchenko and x-outer actions of pointed hopf algebras