On Pseudo Small Injective Modules  

作　　者：ZHAO Yu, e DU Xian-neng 

机构地区：[1]College of Mathematics, Anhui University, Hefei 230601, China [2]College of Mathematics, Qingdao University, Qingdao 266071, China

出　　处：《Chinese Quarterly Journal of Mathematics》2013年第4期532-538,共7页数学季刊（英文版）

基　　金：Supported by the Ph.D.Programs Foundation of Ministry of Education of China(200803570003)

摘　　要：The definition of principally pseudo injectivity motivates us to generalize tae notion of injectivity, noted SP pseudo injectivity. The aim of this paper is to investigate characterizations and properties of SP pseudo injective modules. Various results are devel- oped, many extending known results. As applications, we give some characterizations on Noetherian rings, QI rings, quasi-Frobenius rings.

关 键 词：SP pseudo injective modules semiregular modules SP injective modules co-Hopfian modules 

分 类 号：O153.3[理学—数学]