[1]颜晓光,徐爱民.关于Ding投射范畴的稳定性[J].南京师大学报(自然科学版),2015,38(01):25.
　Yan Xiaoguang,Xu Aimin.On Stability of Ding Projective Categories[J].Journal of Nanjing Normal University(Natural Science Edition),2015,38(01):25.
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关于Ding投射范畴的稳定性()
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《南京师大学报》（自然科学版）[ISSN:1001-4616/CN:32-1239/N]

卷:
第38卷
期数:
2015年01期
页码:
25
栏目:
数学
出版日期:
2015-06-30

文章信息/Info

Title:
On Stability of Ding Projective Categories
作者:
颜晓光1; 徐爱民2
(1.南京晓庄学院数学与信息技术学院,江苏 南京 211171)(2.曲阜师范大学数学科学学院,山东 曲阜 273165)
Author(s):
Yan Xiaoguang1; Xu Aimin2
(1.School of Mathematics and Information Technology,Nanjing Xiaozhuang University,Nanjing 211171,China)(2.School of Mathematical Sciences,Qufu Normal University,Qufu 273165,China)
关键词:
Ding投射模; Ding投射复形; 稳定性
Keywords:
Ding projective module; Ding projective complex; stability
分类号:
O154.2
文献标志码:
A
摘要:
首先,证明了以Ding投射模为对象,利用定义Ding投射模的方法构造出的模仍然是Ding投射模. 其次,引进了Ding投射复形并利用Ding投射模刻画了此类复形. 同时,利用复形的Ding投射维数刻画了n-FC环. 最后,证明了Ding投射复形范畴也具有类似Ding投射模范畴的稳定性.
Abstract:
We show that an iteration of the procedure used to define Ding projective modules yields exactly Ding projective modules. Then we introduce Ding projective complexes,and characterize those complexes by Ding projective modules. Moreover,we characterize n-FC rings with Ding projective dimension of complexes. Finally,we prove that the category of Ding projective complexes also has some kind of stability.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期:2014-06-17.
基金项目:国家自然科学基金天元专项(11226060)、江苏省高校自然科学基金(12KJD110006)、南京晓庄学院青年专项(2011NXY62).
通讯联系人:颜晓光,博士,副教授,研究方向:同调代数. E-mail:yanxg1109@163.com
更新日期/Last Update: 2015-03-30