Generalized smash products.

DOI10.1007/s10114-003-0293-zzbMath1078.16049OpenAlexW2053310823MaRDI QIDQ1888708

Zhi Xiang Wu

Publication date: 26 November 2004

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-003-0293-z

zbMATH Keywords

antipodescategories of modulesbialgebrasHopf modulesrational modulesright comodule algebrasuniform dimensionleft integralsgeneralized smash productsleft module coalgebrasdense subringsright primitive rings

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Homological dimension in associative algebras (16E10)

Cites Work

• Unnamed Item
• Hopf Galois extensions, smash products, and Morita equivalence
• A duality theorem for Hopf module algebras
• Homological coalgebra
• Finiteness conditions for a Hopf algebra with a nonzero integral
• Coactions, smash products, and Hopf modules
• Equivalence theorems and Hopf-Galois extensions
• Strongly inner actions, coactions, and duality theorems
• Hopf algebras and Galois theory
• Rings of quotients and Morita contexts
• Galois actions on rings and finite Galois coverings.