Cotorsion pairs induced by duality pairs
Cotorsion pairs induced by duality pairs
复制标题
DOI：
10.1216/jca-2009-1-4-621
复制
发表时间：
2009-05
影响因子：
0.6
通讯作者：
Henrik Holm;Peter Jørgensen
中科院分区：
文献类型：
--
作者：
Henrik Holm;Peter Jørgensen
我们介绍了对偶对的概念，并演示了如何左半部分这样一个对是“经常”覆盖和preenveloping。作为应用，我们推广了Enochs等人关于Auslander和Bass类的一个结果，并证明了由Enochs和Jenda引入的Gorenstein内射模类在基环具有对偶复形时是覆盖的.
We introduce the notion of a duality pair and demonstrate how the left half of such a pair is “often” covering and preenveloping. As an application, we generalize a result by Enochs et al. on Auslander and Bass classes, and we prove that the class of Gorenstein injective modules—introduced by Enochs and Jenda—is covering when the ground ring has a dualizing complex.