Wakamatsu tilting modules with finite FP-injective dimension

被引：5
|
作者：
Zhu, Haiyan [1 ]
Ding, Nanqing [2 ]
机构：
[1] Zhejiang Univ Technol, Dept Math, Zhejiang 310023, Peoples R China
[2] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China
来源：
FORUM MATHEMATICUM | 2009年 / 21卷 / 01期
关键词：
COHERENT RINGS;
D O I：
10.1515/FORUM.2009.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let R be a left coherent ring, (R)omega a Wakamatsu tilting module and S = End((R)omega) a right coherent ring. It is shown that the FP-injective dimensions of (R)omega and omega(S) are identical provided both of them are finite. It is also shown that in this case all finitely presented left R-modules (right S-modules) have special (perpendicular to)omega-precovers and special ((perpendicular to)omega)(perpendicular to)-preenvelopes.
引用
收藏
页码：101 / 116
页数：16
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