[1]焦天明,杨晓燕.Ding投射模和强Ding投射模[J].江西师范大学学报(自然科学版),2015,(01):46-49.
 JIAO Tianming,YANG Xiaoyan.The Ding Projective Modules and Strongly Ding Projective Modules[J].,2015,(01):46-49.
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Ding投射模和强Ding投射模()
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《江西师范大学学报》(自然科学版)[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2015年01期
页码:
46-49
栏目:
出版日期:
2015-02-10

文章信息/Info

Title:
The Ding Projective Modules and Strongly Ding Projective Modules
作者:
焦天明;杨晓燕
西北师范大学数学与统计学院,甘肃 兰州 730070
Author(s):
JIAO TianmingYANG Xiaoyan
关键词:
Ding投射模 强Ding投射模 n-强Ding投射模
Keywords:
Ding projective module strongly Ding projective module n-modules classes respectively. Ding projective module strongly Ding projective module rongly Ding projective module
分类号:
O 153.3
文献标志码:
A
摘要:
给出了Ding投射模是强Ding投射模的条件,证明了i=1,2,…,m,若D-gldim(Ri)<∞,则SDP(∏i=1Ri)=DP(∏i=1Ri)当且仅当i,SDP(Ri)=DP(Ri),其中DP(R)和SDP(R)分别表示Ding投射R-模类和强Ding投射R-模类.
Abstract:
The conditions that the class of every Ding projective modules is strongly Ding projective modules are given.It is proved that if D-gldim(Ri)<∞,i=1,2,…,m,then SDP(∏i=1Ri)=DP(∏i=1Ri) if and only if SDP(Ri)=DP(Ri) for each i,where DP(R) and SDP(R) denote the classes of Ding projective R-modules classes and strongly Ding projective R-modules classes respectively.

参考文献/References:

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备注/Memo

备注/Memo:
国家自然科学基金(11361051,11461060)
更新日期/Last Update: 1900-01-01