关于PP环和PF环  

On PP Rings and PF Rings

作　　者：陈兰清 

出　　处：《福建师范大学学报（自然科学版）》1996年第4期25-28,共4页Journal of Fujian Normal University：Natural Science Edition

摘　　要：证明了环Ｒ为左ＰＰ环的充要条件是Ｒ的任一非空子集的右零化子是纯理想．引入ＰＦＲ－模并给出了环Ｒ为ＰＦ环的一个充要条件是ＰＦＲ－模的子模仍为ＰＦＲ－模．Prove that a ring R is left PP ring if and only if for each XR (X≠ ).the right annihilator of X in R is Pure ideal.In the second part, introduce PF R-modules And show that a ring R is PF ring if and only if every submodule PF R-module is also PF Rmodule.

关 键 词：PP环 PF环 零化子 纯理想 环 结合环 

分 类 号：O153.3[理学—数学]