[1]陈 东,胡 葵.Gorenstein FPn-内射模和Gorenstein FPn-平坦模[J].四川师范大学学报(自然科学版),2019,(05):674-677.[doi:10.3969/j.issn.1001-8395.2019.05.016]
 CHEN Dong,HU Kui.Gorenstein FPn-injective and Gorenstein FPn-flat Modules[J].Journal of SichuanNormal University,2019,(05):674-677.[doi:10.3969/j.issn.1001-8395.2019.05.016]
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Gorenstein FPn-内射模和Gorenstein FPn-平坦模()
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《四川师范大学学报(自然科学版)》[ISSN:1001-8395/CN:51-1295/N]

卷:
期数:
2019年05期
页码:
674-677
栏目:
基础理论
出版日期:
2019-07-15

文章信息/Info

Title:
Gorenstein FPn-injective and Gorenstein FPn-flat Modules
文章编号:
1001-8395(2019)05-0674-04
作者:
陈 东1 胡 葵2
1.成都大学 信息科学与工程学院, 四川 成都 610106; 2.西南科技大学 理学院, 四川 绵阳 621010
Author(s):
CHEN Dong1 HU Kui2
1.College of Information Science and Engineering, Chengdu University, Chengdu 610106, Sichuan; 2.College of Science, Southwest University of Science and Technology, Mianyang 621010, Sichuan
关键词:
Gorenstein FPn-内射模 n-凝聚环 模的结构 内射盖
Keywords:
Gorenstein FPn-injective modules n-injective modules herent rings structure of modules injective cover
分类号:
O154
DOI:
10.3969/j.issn.1001-8395.2019.05.016
文献标志码:
A
摘要:
引入Gorenstein FPn-内射模和Gorenstein FPn-平坦模的概念.讨论这2类模的一些性质,以及Gorenstein FPn-内射模的FPn-内射维数.研究n-凝聚环上Gorenstein FPn-内射模的结构,最后讨论每个R-模是 Gorenstein FPn-内射模的条件.
Abstract:
The concepts of Gorenstein FPn-injective modules and Gorenstein FPn-flat modules are introduced.We study the basic properties of these two classes of modules firstly and then discuss the FPn-injective dimension of Gorenstein FPn-injective modules and the structures of Gorenstein FPn-injective modules over a n-coherent ring.Finally, the conditions under which each R-module is a Gorenstein FPn-injective module are given.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期:2017-12-29 接受日期:2019-01-02
基金项目:国家自然科学基金(11671283)
第一作者简介:陈 东(1983—),男,讲师,主要从事交换代数与同调代数的研究,E-mail:chendong@cdu.edu.cn
更新日期/Last Update: 2019-07-15