Ext-强W_(P)-Gorenstein模  

Ext-Strong WP-Gorenstein Modules

作　　者：刘雅娟 张翠萍 LIU Ya-juan;ZHANG Cui-ping(School of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China)

机构地区：[1]西北师范大学数学与统计学院,兰州730070

出　　处：《西南师范大学学报（自然科学版）》2021年第4期9-14,共6页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(11761060).

摘　　要：一般情况下,强W_(P)-Gorenstein模关于扩张不封闭,因此强W_(P)-Gorenstein模不是Pc(R)可解的.是否C投射模和强W_(P)-Gorenstein模之间存在一个Pc(R)可解类?引入一个特殊的Pc(R)可解类,即Ext强W_(P)-Gorenstein模,证明了Ext强W_(P)-Gorenstein模是Pc(R)可解类,并且讨论了Ext强W_(P)-Gorenstein模的预覆盖.In general,the strongly W_(P)-Gorenstein modules are not closed under extensions and,therefore,the class of strongly W_(P)-Gorenstein modules is not Pc(R)-resolving.Whether or not there exists a Pc(R)-resolving between the class of C-projective and strongly W_(P)-Gorenstein modules?So a particular Pc(R)-resolving class has been introduced,which is called the class of Ext-strongly W_(P)-Gorenstein module,the class of Ext-strongly W_(P)-Gorenstein modules is Pc(R)-resolving are investigated,and Ext-strongly W_(P)-Gorensteinprecover are discussed.

关 键 词：Pc(R)可解类 强W_(P)Gorenstein模 Ext强W_(P)-Gorenstein模 预覆盖 

分 类 号：O153.3[理学—数学]