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 FP n-内射模的FP n-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.
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.
作者
陈东
胡葵
CHEN Dong;HU Kui(College of Information Science and Engineering,Chengdu University,Chengdu 610106,Sichuan;College of Science,Southwest University of Science and Technology,Mianyang 621010,Sichuan)
出处
《四川师范大学学报（自然科学版）》
CAS
北大核心
2019年第5期674-677,共4页
Journal of Sichuan Normal University（Natural Science）
基金
国家自然科学基金(11671283)
