PSD-补模  

PSD-supplemented modules

作　　者：王永铎[1] 李晓静[1] 许飞飞 

机构地区：[1]兰州理工大学理学院,甘肃兰州730050 [2]阳高县第一中学,山西大同038100

出　　处：《兰州理工大学学报》2013年第2期144-147,共4页Journal of Lanzhou University of Technology

摘　　要：设R是环,M是右R-模.称模M为PSD-补模,如果对于M的任意子模N,存在M的子模K,使得M=N+K且N∩K在K中是PSD的.给出PSD-补模的一些性质,证明对于duo-模M=M1M2,如果M1,M2是PSD-补模,则M是PSD-补模.Let R be a ring and M an right R-module. M is called PSD-supplemented module if for every submodule N of M, there is a submodule K of M such that M= N＋K and Nr）K is PSD in K. Some prop- erties of PSD-supplemented modules were given and it was proved that a duo-module M=M1○M2 would be a PSD-supplemented module if M1 and M2 were PSD-supplemented modules.

关 键 词：补模 I-补模 PSD-子模 PSD-补模 PSD-补 

分 类 号：O153.3[理学—数学]