期刊信息
- 刊名： 河北师范大学学报（自然科学版）Journal of Hebei Normal University (Natural Science)
- 主办： 河北师范大学
- ISSN： 1000-5854
- CN： 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
On the Regularity of MLW-rings and MELW-rings
摘要/Abstract
摘要：
引入了MLW-环与MELW-环的概念，并得到了下面2个主要结果:1)若R是MLW左SPF环，则R/J(R)是强正则环；2)若R是Abelian的MELW-环，并且每一个单奇异左R模是GP内射模，则R是reduced弱正则环。
Abstract：
The concepts of MLW-rings and MELW-rings are introduced and the following two results are mainly obtained:1) If R is a MLW-left SPF-ring,then R/J(R) is a strongly regular ring;2) If R is an Abelian MELW-ring whose every simple singular left R-module is GP-injective,then R is a reduced weakly regular ring.
关键词
Key words：
regular ring
;
MLW-rings
;
MELW-rings