左<em>wGF</em>-封闭环上的弱Gorenstein平坦模

王修建; 杜先能

doi:10.3879/j.issn.1000-0887.2013.05.010

左wGF-封闭环上的弱Gorenstein平坦模

doi: 10.3879/j.issn.1000-0887.2013.05.010

王修建^1,2,
杜先能²

¹皖西学院应用数学学院, 安徽六安 237012;²安徽大学数学科学学院, 合肥 230039

基金项目: 国家自然科学基金资助项目(11126173)

详细信息

作者简介:
王修建(1982—), 男,安徽人,讲师,博士（通讯作者.E-mail: xjwang@wxc.edu.cn）.

中图分类号: O153.3
计量
- 文章访问数: 1139
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- 被引次数: 0
出版历程
- 收稿日期: 2013-03-18
- 修回日期: 2013-04-12
- 刊出日期: 2013-05-15

Weak Gorenstein Flat Modules Under the Left wGF-Closed Rings

WANG Xiu-jian^1,2,
DU Xian-neng²

¹School of Applied Mathematics, West Anhui University, Lu’an, Anhui 237012, P.R.China;²School of Mathematical Sciences, Anhui University,Hefei 230039, P.R.China

摘要

摘要: 利用同调代数的工具, 主要证明了弱Gorenstein平坦模类为投射预解的当且仅当它是扩张封闭的，进一步的刻画了左wGF-封闭环上弱Gorenstein平坦模的一些性质，这些内容丰富了D.Bennis等人的研究结果.
- 弱-Gorenstein平坦 /
- Gorenstein平坦 /
- 左wGF-封闭环 /
- 投射预解
Abstract: Using homological methods, mainly prove that the class of the weak Gorenstein flat modules was projectively resolving if and only if it was closed under extensions. Furthermore, some properties of weak Gorenstein flat modules under the wGF-rings were also given. Which generalized the results of D.Bennis and so on.
- weak Gorenstein flat module /
- Gorenstein flat module /
- left wGF-closed rings /
- projectively resolving

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参考文献(16)

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