Equivalences between Categories of Modules and Categories of Comodules

被引：8

作者：

Vercruysse, Joost ^{[1
]}

机构：

[1] Vrije Univ Brussels, B-1050 Brussels, Belgium

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2008年 / 24卷 / 10期

关键词：

Galois comodules; comatrix corings; firm projectivity;

D O I：

10.1007/s10114-007-6455-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show the close connection between apparently different Galois theories for comodules introduced recently in [J. Gomez-Torrecillas and J. Vercruysse, Comatrix corings and Galois Comodules over firm rings, Algebr. Represent. Theory, 10 (2007), 271-306] and [Wisbauer, On Galois comodules, Comm. Algebra 34 (2006), 2683-2711]. Furthermore we study equivalences between categories of comodules over a coring and modules over a firm ring. We show that these equivalences are related to Galois theory for comodules.

引用

页码：1655 / 1674

页数：20

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