COHERENT RINGS AND GORENSTEIN FP-INJECTIVE MODULES

被引：30
|
作者：
Gao, Zenghui [1 ,2 ]
Wang, Fanggui [1 ]
机构：
[1] Sichuan Normal Univ, Coll Math, Chengdu 610068, Peoples R China
[2] Chengdu Univ Informat Technol, Coll Math, Chengdu, Sichuan, Peoples R China
来源：
COMMUNICATIONS IN ALGEBRA | 2012年 / 40卷 / 05期
关键词：
Coherent ring; Gorenstein FP-injective module; Gorenstein flat module; Gorenstein projective module; Self-FP-injective; PROJECTIVE-MODULES; FLAT MODULES; DIMENSIONS;
D O I：
10.1080/00927872.2011.554473
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, Gorenstein FP-injective modules are introduced and investigated. A left R-module M is called Gorenstein FP-injective if there is an exact sequence ... -> E-1 -> E-0 -> E-0 -> E-1 -> ... of FP-injective left R-modules with M = ker (E-0 -> E-1) such that Hom(R)(P, -) leaves the sequence exact whenever P is a finitely presented left R-module with pd(R)(P) < infinity. Some properties of Gorenstein FP-injective modules are obtained. Several well-known classes of rings are characterized in terms of Gorenstein FP-injective modules.
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页码：1669 / 1679
页数：11
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