MORITA CONTEXT OF WEAK HOPF ALGEBRAS

被引：0

作者：

候波

张子龙

蔡炳苓

李燕

机构：

[1] College of Mathematics and Information Science Hebei Normal University

[2] Department of Mathematics and Information Science Tangshan Teacher’s College

来源：

Acta Mathematica Scientia | 2011年 / 31卷 / 03期

关键词：

weak Hopf algebras; A-rings; morita context; Frobenius extension;

D O I：

暂无

中图分类号：

O153 [抽象代数（近世代数）];

学科分类号：

070104 ;

摘要：

Let H be a finite-dimensional weak Hopf algebra and A a left H-module algebra with its invariant subalgebra A~H.We prove that the smash product A#H is an A-ring with a grouplike character, and give a criterion for A#H to be Frobenius over A. Using the theory of A-rings, we mainly construct a Morita context <A~H,A#H,A,A,τ,μ> connecting the smash product A#H and the invariant subalgebra A~H , which generalizes the corresponding results obtained by Cohen, Fischman and Montgomery.

引用

页码：1133 / 1141

页数：9

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