PS-内射环Ⅱ(英文)  

PRINCIPALLY SMALL INJECTIVE RINGS Ⅱ

作　　者：向跃明[1] 欧阳柏玉[2] 

机构地区：[1]怀化学院数学与应用数学系,怀化418000 [2]湖南师范大学数学与计算机科学学院,长沙410081

出　　处：《南京大学学报（数学半年刊）》2012年第1期39-50,共12页Journal of Nanjing University(Mathematical Biquarterly)

摘　　要：本文主要研究PS-内射环,作为morphic-环的推广,我们引入了一类PS-内射环,称之为J-morphic环.给出了J-morphic环的例子和一些性质.最后还研究了在平凡扩张下的内射性.The aim of this paper is to investigate the principally small injective rings. As a generalization of the morphic rings, we introduce a class of principally small injective rings which is called J-morphic rings. Some properties and examples are given. Finally, we also study the principally small injectivity under trivial ring extensions.

关 键 词：PS-内射环 JO-morphic环 平凡扩张 

分 类 号：O153.3[理学—数学]