ON STRONGLY COPURE FLAT MODULES AND COPURE FLAT DIMENSIONS

被引：8
作者：
Fu, Xianhui [1 ]
Ding, Nanqing [2 ]
机构：
[1] NE Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China
[2] Nanjing Univ, Dept Math, Nanjing 210008, Peoples R China
来源：
COMMUNICATIONS IN ALGEBRA | 2010年 / 38卷 / 12期
基金：
中国国家自然科学基金;
关键词：
Copure flat dimension; Flat dimension; (Pre)Cover; (Pre)Envelope; Strongly copure cotorsion module; Strongly copure flat module; INJECTIVE-MODULES; CHARACTER MODULES; COHERENT RINGS; TORSION-FREE; COVERS; RESOLVENTS;
D O I：
10.1080/00927870903428262
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let R be a left coherent ring. We first prove that a right R-module M is strongly copure flat if and only if Ext(i) (M, C) = 0 for all flat cotorsion right R-modules C and i >= 1. Then we define and investigate copure flat dimensions of left coherent rings. Finally, we give some new characterizations of n-FC rings.
引用
收藏
页码：4531 / 4544
页数：14
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