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.

引用

页码：1669 / 1679

页数：11

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