Inductions and coinductions for Hopf extensions

zbMath0878.16021MaRDI QIDQ1919049

Yinhuo Zhang, Xu Yonghua, Freddy M. J. van Oystaeyen

Publication date: 10 November 1997

Published in: Science in China. Series A (Search for Journal in Brave)

zbMATH Keywords

finite dimensional Hopf algebrasHopf Galois extensionsMorita maps\(H\)-comodule algebras\(H\)-Galois extensionsfunctorial characterization of Hopf extensionsHopf module categoriesinduction and coinduction functorsseparability conditions on functors

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Special properties of functors (faithful, full, etc.) (18A22)

Related Items

\(H\)-module endomorphism rings, Cotorsion dimensions and Hopf algebra actions., Induction functors and stable Clifford theory for Hopf modules, Frobenius cowreaths and Morita contexts, Hopf extensions of CM-finite Artin algebras, On Frobenius and separable Galois cowreaths, Gorenstein injective and projective modules and actions of finite-dimensional Hopf algebras., Separable functors for the category of Doi-Hopf modules, applications