摘要
一个环R称为有向有限的,如果对于x,y∈R,xy=1蕴涵着yx=1.本文我们首先建立有向有限环的某些新的刻画,然后考察了它们的某些性质.
A ring R is called directly finite if for x,y∈R,xy=1implies yx= 1. In this paper, we first establish some new characterizations for directly finite rings and then investigate their some properties.
出处
《大学数学》
北大核心
2007年第4期38-40,共3页
College Mathematics
基金
the NSFC Grant(10571080)
the NSFJX Grant(0611042)
JXST Grant(G(2006)(194))
Doctor Grant of Jiangxi University of Science and Technology
关键词
有向有限环
满R-同态
扩张闭性
形式三角矩阵环
矩阵环
directly finite ring
surjective R-homomorphism
extension property
formal triangular matrix rings
matrix rings
