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
收藏
页码：307 / 320
页数：14
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