I-ring which Satisfies A. D. C. C on Principal Left Ideals  

作　　者：胡长流 田进军 

机构地区：[1]Department [2]of

出　　处：《Chinese Quarterly Journal of Mathematics》1997年第3期71-74, ,共4页数学季刊（英文版）

摘　　要：In this paper,the I-ring which satisfies almost descending chain conditions (shorten writting A. D. C. C) on principal left ideals is studied. Two main results are gaven: (1) I-ring which satisfies A. D.C. C on principal left ideals is Boolen. (2) Ring with identity whose principal left ideals satisfy A. D. C. C and of which each element except identity is a left zero-divisor, is Boolean.These results generalize the results of [1],[2] and [3].

关 键 词：I-ring A. D. C. C Boolean ring (right)perfect ring artin ring T-nilpotent 

分 类 号：O153.3[理学—数学]