Integral extensions of noncommutative rings

DOI10.1007/BF02773430zbMath0737.16016OpenAlexW1969995943MaRDI QIDQ1178344

Declan Quinn

Publication date: 26 June 1992

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02773430

zbMATH Keywords

crossed productsmatrix ringsfixed ringsrestricted enveloping algebrasring extensionsfinite normalizing extensionsfinite group of automorphismscocommutative semisimple Hopf algebrafinite subnormalizing extensionsfull integralityrings of invariants of Hopf algebra actionssum of monomials

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Conditions on elements (16U99) Derivations, actions of Lie algebras (16W25) Universal enveloping algebras of Lie algebras (16S30) Centralizing and normalizing extensions (16S20)

Related Items

Semiinvariants for Hopf algebra actions, Normal pairs of noncommutative rings, Krull relations in Hopf Galois extensions: lifting and twisting., On actions of Hopf algebras with cocommutative coradical, Crossed Products of Semisimple Cocommutative Hopf Algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Finite subnormalizing extensions of rings
• Prime ideals in restricted differential operator rings
• Integrality and normalizing extensions of rings
• Fixed rings and integrality
• Finite extensions are integral
• Connected fully reducible affine group schemes in positive characteristic are Abelian
• Group-Graded Rings, Smash Products, and Group Actions
• Group-Graded Rings and Duality
• Crossed Products and Inner Actions of Hopf Algebras
• Crossed Products of Semisimple Cocommutative Hopf Algebras
• Integrality Over Fixed Rings