Twisted Hopf module coalgebras

被引：3

作者：

Ju, TX ^{[1
]}

Cai, CR ^{[1
]}

机构：

[1] Yangzhou Univ, Teachers Coll, Dept Math, Yangzhou 225002, Jiangsu, Peoples R China

来源：

COMMUNICATIONS IN ALGEBRA | 2000年 / 28卷 / 01期

关键词：

D O I：

10.1080/00927870008841074

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For k a field, H a k-bialgebra and C a right H-module k-coalgebra, we define a new comultiplication on the H-module C to obtain a "twisted coalgebra" C-r. tau epsilon Hom (C, H circle times C). If tau is invertible, the categories of relative right Hopf modules over C and C-r are isomorphic. We show that crossed coproducts are invertible twistings of the tensor coalgebras. These results are dual to [1, Theroem1.1] and [1, Theorems3.4].

引用

页码：307 / 320

页数：14

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