摘要
本文给出了判断本原环,有单位元的单环和除环的充分必要条件,主要结果见定理1—7。
In this paper the main results are following theorems: (1)A prime ring is a primitre ring, asimple ring with unit or a division ring, respectively, if and only if there exists its ideal which is aprimitre ring, a sinple ring with unit or a division ring. (2)The result is still true when we replaceprime ring by ring and ideal by essential ideal in (1). (3) A prime ring is a subdirectly irreduciblering if and only if there exists its ideal which is a simple ring.
出处
《中央民族大学学报(自然科学版)》
1995年第2期89-91,共3页
Journal of Minzu University of China(Natural Sciences Edition)
关键词
素环
本质环
单环
本原理想
prime ring
primitiwe ring
simple ring
essential ideal