（强）n-Gorenstein内射模  

（Strongly） n-Gorenstein injective modules

作　　者：王修建[1] 杜先能[2] 

机构地区：[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,安徽合肥230039

出　　处：《中国科学技术大学学报》2013年第6期455-460,共6页JUSTC

基　　金：Supported by the National Natural Science Foundation of China （11126173）.

摘　　要：引入了一种广义Gorenstein内射模定义，即n-Gorenstein内射模，证明了这种模类在一定条件下为扩张封闭的当且仅当它是内射预解的，也给出了强n-Gorenstein内射模的内射等价性及其上合冲性质．The notion of n-Gorenstein injective modules was introduced, which generalizes Gorenstein injective modules. It was proved that the class of the n-Gorenstein injective modules is closed under extensions if and only if it is injectively resolving under some conditions. Some properties of injective equivalence and cosyzygy on strongly n-Gorenstein injective modules were also given.

关 键 词：n—Gorenstein内射模 强n-Gorenstein内射模 内射模 内射预解 

分 类 号：O154.2[理学—数学] O153.3[理学—基础数学]