Some properties of AFG and CTF rings

被引：1
|
作者：
Mao, Lixin [1 ]
机构：
[1] Nanjing Inst Technol, Dept Math & Phys, Nanjing 211167, Jiangsu, Peoples R China
来源：
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2016年 / 45卷 / 01期
关键词：
AFG ring; CTF ring; pseudo-coherent ring; FP-injective module; singly projective module; INJECTIVE-MODULES; COHERENT RINGS; BAER; FLAT;
D O I：
10.15672/HJMS.20164512483
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
R is said to be a right AFG ring if the right annihilator of every nonempty subset of R is a finitely generated right ideal. R is called a right CTF ring if every cyclic torsionless right R-module embeds in a free module. In this paper, we first give new characterizations of AFG rings and study some closure properties of AFG rings. Then we explore the intimate relationships between AFG rings and CTF rings.
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页码：57 / 67
页数：11
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