Splitting of the radical in finite-dimensional H-module algebras

DOI10.1007/BF01978725zbMath0712.16023MaRDI QIDQ923701

Alexander Sidorov

Publication date: 1989

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/187474

zbMATH Keywords

restricted enveloping algebrasrestricted Lie algebrasbialgebraHopf module algebrasnilpotent idealsemisimple group algebrasdiagonal actionH-separableprojective H-moduleradical splitting theory

Mathematics Subject Classification ID

Group rings (16S34) Universal enveloping (super)algebras (17B35) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Derivations, actions of Lie algebras (16W25)

Related Items (1)

Derivations, gradings, actions of algebraic groups, and codimension growth of polynomial identities.

Cites Work

• Unnamed Item
• Unnamed Item
• Invariant Wedderburn factors
• Hopf algebra actions
• Finite dimensional cosemisimple Hopf algebras in characteristic 0 are semisimple
• Affine Hopf algebras. I
• Free Hopf algebras generated by coalgebras
• Characters of Hopf algebras
• Group-Graded Rings, Smash Products, and Group Actions
• Semisimple Cosemisimple Hopf Algebras
• Cocommutative Hopf algebras with antipode
• An Associative Orthogonal Bilinear Form for Hopf Algebras
• Representations of Restricted Lie Algebras of Characteristic p

This page was built for publication: Splitting of the radical in finite-dimensional H-module algebras