On Galois extension of Hopf algebras

被引：1

作者：

Liu, Guohua ^{[1
]}

Zhu, Shenglin ^{[2
]}

机构：

[1] SE Univ, Dept Math, Nanjing 210096, Peoples R China

[2] Fudan Univ, Sch Math Sci, Key Lab Math & Nonlinear Sci, Shanghai 200433, Peoples R China

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 2008年 / 29卷 / 01期

关键词：

Hopf algebra; Galois extension;

D O I：

10.1007/s11401-007-0020-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let H be a cosemisimple Hopf algebra over a field k, and pi:A -> H be a surjective cocentral bialgebra homomorphism of bialgebras. The authors prove that if A is Galois over its coinvariants B=LH Ker pi and B is a sub-Hopf algebra of A, then A is itself a Hopf algebra. This generalizes a result of Cegarra [3] on group-graded algebras.

引用

页码：65 / 70

页数：6

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