Relative Projective Dimensions

被引：0
|
作者：
Ouyang, Baiyu [1 ]
Duan, Luling [2 ]
Li, Weiqing [1 ]
机构：
[1] Hunan Normal Univ, Coll Math & Comp Sci, Changsha 410081, Hunan, Peoples R China
[2] Guangxi Coll Educ, Dept Math & Comp Sci, Nanning 530023, Guangxi, Peoples R China
来源：
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2014年 / 37卷 / 03期
关键词：
Noetherian rings; n-coherent rings; (n; 0)-projective module (dimension); 0)-injective module; n-presented module; N-COHERENT RINGS; INJECTIVE-MODULES; ENVELOPES;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In (n, d)-ring and n-coherent ring theory, n-presented modules plays an important role. In this paper, we firstly give some new characterizations of n-presented modules and n-coherent rings. Then, we introduce the concept of (n,0)-projective dimension, which measures how far away a finitely generated module is from being n-presented and how far away a ring is from being Noetherian, for modules and rings. This dimension has nice properties when the ring in question is n-coherent. Some known results are extended or obtained as corollaries.
引用
收藏
页码：865 / 879
页数：15
相关论文
共 50 条
12345