S-Gorenstein内射模  

On S-Gorenstein Injective Modules

作　　者：杨燕妮 郑振 YANG Yan-ni;ZHENG Zhen(College of Mathematics and Statistics,Kashi University,Kashi 844006,China;Nankai University School of Mathematical Sciences,Tianjin 300071,China)

机构地区：[1]喀什大学数学与统计学院,新疆喀什844006 [2]南开大学数学科学学院,天津300071

出　　处：《数学的实践与认识》2022年第8期219-225,共7页Mathematics in Practice and Theory

基　　金：新疆维吾尔自治区自然科学基金(2019D01B04);自治区教育厅项目(XJEDU2017M023)。

摘　　要：引入了S-Gorenstein内射模,给出了S-Gorenstein内射模的一些等价刻画,证明了S-Gorenstein内射模关于直积封闭,并且证明了S-Gorenstein内射模类是内射可解类当且仅当S-Gorenstein内射模类关于扩张封闭.S-Gorenstein injective modules are introduced,some equivalent characterizations of S-Gorenstein injective modules are given.It is proved that the class of S-Gorenstein injective modules is closed under direct products,and that the class of S-Gorenstein injective modules is injectively resolving if and only if it is closed under extensions.

关 键 词：S-Gorenstein内射模 S-内射模 QF环 

分 类 号：O153.3[理学—数学]