摘要
本文主要研究了有单位元的主左理想几乎满足降链条件的环为完全环的条件．这对于研究降链条件环的方法与结构都具有十分重要意义．
Let be a ring almost satisfying the descending chain condition for principal left ideals and has a unity. We have proved that if is a nil semi-simple ring, is right perfect; if the nil radical of the ring is N, J is ideal and N J=0, then J is right perfect ideal of ; if the nil radical of is N, the ideal J is inverse image of J in the ring /N and if J is a right perfect ideal, is right perfect ring.
出处
《大连大学学报》
2000年第6期18-20,28,共4页
Journal of Dalian University
关键词
完全环
降链条件
主左理想
结构
principal left ideal
perfect ring
descending chain condition?
