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

页码：4531 / 4544

页数：14

共 23 条

[1]

Anderson F. W., 1974, Rings and Categories of Modules

[2] Left cotorsion rings [J].

Asensio, PAG ;

Herzog, I .

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2004, 36 :303-309

[3] All modules have flat covers [J].

Bican, L ;

El Bashir, R ;

Enochs, E .

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2001, 33 :385-390

[4] FLAT AND PROJECTIVE CHARACTER MODULES [J].

CHEATHAM, TJ ;

STONE, DR .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1981, 81 (02) :175-177

[5] RINGS WHICH HAVE FLAT INJECTIVE MODULES [J].

COLBY, RR .

JOURNAL OF ALGEBRA, 1975, 35 (1-3) :239-252

[6] On copure flat modules and flat resolvents [J].

Ding, NQ ;

Chen, JL .

COMMUNICATIONS IN ALGEBRA, 1996, 24 (03) :1071-1081

[7] Coherent rings with finite self-FP-injective dimension [J].

Ding, NQ ;

Chen, JL .

COMMUNICATIONS IN ALGEBRA, 1996, 24 (09) :2963-2980

[8] Gorenstein flat covers of modules over Gorenstein rings [J].

Enochs, E ;

Xu, JZ .

JOURNAL OF ALGEBRA, 1996, 181 (01) :288-313

[9]

Enochs E. E., 1993, COMMENT MATH U CAROL, V34, P203

[10]

Enochs E.E., 1991, QUAESTIONES MATH, V14, P401, DOI [DOI 10.1080/16073606.1991.9631658, 10.1080/16073606.1991.9631658]

← 1 2 3 →