Partial (co)actions of Hopf algebras and partial Hopf-Galois theory

被引：73

作者：

Caenepeel, S. ^{[1
]}

Janssen, K. ^{[1
]}

机构：

[1] Vrije Univ Brussels, Fac Engn Sci, Brussels, Belgium

来源：

COMMUNICATIONS IN ALGEBRA | 2008年 / 36卷 / 08期

关键词：

coring; entwining structure; Galois extension; smash product;

D O I：

10.1080/00927870802110334

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce partial (co)actions of a Hopf algebra H on an algebra. To this end, we introduce first the notion of lax coring, generalizing Wisbauer's notion of weak coring. We also have the dual notion of lax ring. Several duality results are given, and we develop Galois theory for partial H-comodule algebras.

引用

页码：2923 / 2946

页数：24

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