Noncommutative descent and non-Abelian cohomology

被引：27
|
作者：
Nuss, P
机构：
[1] UNIV STRASBOURG 1,INST RECH MATH AVANCEE,F-67084 STRASBOURG,FRANCE
[2] CNRS,F-67084 STRASBOURG,FRANCE
来源：
K-THEORY | 1997年 / 12卷 / 01期
关键词：
descent; braid equation; connection; Hopf-Galois extension; non-Abelian cohomology; Hermitian module; Hilbert's Theorem 90;
D O I：
10.1023/A:1007734431772
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the descent problem of modules over general extensions of noncommutative rings and give different interpretations of descent data. We consider in particular the case of Hopf-Galois extensions. When descent data exist, we classify them by non-Abelian cohomology sets and deduce a noncommutative version of Hilbert's Theorem 90.
引用
收藏
页码：23 / 74
页数：52
相关论文
共 50 条
12345