摘要
本文主要研究环及其上矩阵的正则性 .当 R是一个有单位元的环时 ,本文引进并刻划了Mm× n( R)的正则性并由此重新证明了环 R与全矩阵环 Mn( R)正则的等价性 。
The aim is to study the regularity of a ring and a matrix over it. When R is a ring of unity element, the regularity of M m×n (R) is defined and characterised. Moreover, the equivalance between regularity of a ring and a full matrix ring is proved with a new method. This method is simpler than the old ones.
出处
《浙江大学学报（理学版）》
CAS
CSCD
2001年第3期243-245,共3页
Journal of Zhejiang University（Science Edition）
基金
国家自然科学基金资助项目!(199710 74)
