Integrals in Hopf Algebras over Rings

DOI10.1081/AGB-200036837zbMath1078.16044arXivmath/0307046MaRDI QIDQ4678709

Christian Lomp

Publication date: 23 May 2005

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

Full work available at URL: https://arxiv.org/abs/math/0307046

zbMATH Keywords

integralsseparabilityfinite dimensional Hopf algebrasHopf algebra actionsmodule algebrasfree Hopf algebrasinvariant elementselements of trace oneprojective Hopf algebras over integral domains

Mathematics Subject Classification ID

Hopf algebras (aspects of homology and homotopy of topological groups) (57T05)

Related Items (9)

Integrality and gauge dependence of Hennings TQFTs ⋮ Integral theory for Hopf algebroids. ⋮ Morita, Galois, and the trace map: a survey ⋮ Partial Hopf-Galois theory ⋮ SMASH PRODUCTS, SEPARABLE EXTENSIONS AND A MORITA CONTEXT OVER HOPF ALGEBROIDS ⋮ Homomorphisms, separable extensions, and Morita maps for weak module algebras. ⋮ PRIME ELEMENTS IN PARTIALLY ORDERED GROUPOIDS APPLIED TO MODULES AND HOPF ALGEBRA ACTIONS ⋮ Hopf Algebroids ⋮ A note on a paper by Cuadra, Etingof and Walton

Cites Work

• Unnamed Item
• Semisimple extensions and elements of trace 1
• A class of bicovariant differential calculi on Hopf algebras
• Erratum: ``Semisimple extensions and elements of trace 1
• Der Maßbegriff in der Theorie der kontinuierlichen Gruppen
• Théorie de la descente et algèbres d'Azumaya
• Integrals for Hopf algebras
• On semisimple extensions and separable extensions over non commutative rings
• When Hopf algebras are Frobenius algebras
• An Associative Orthogonal Bilinear Form for Hopf Algebras

This page was built for publication: Integrals in Hopf Algebras over Rings