%0 Journal Article
%T 类似于VNL环的环<br>SOME RINGS SIMILAR TO THE VNL RINGS
%A 作者
%A 王尧
%A 杨圳
%A 任艳丽
%J 数学杂志
%D 2018
%X 本文研究类似于VNL环的环的性质.称一个环R是几乎弱正则环（几乎π-正则环，几乎强π-正则环），如果对任意的a ∈ R，都有a或1-a是弱正则（π-正则，强π-正则）元.本文讨论这些新环的扩张，给出相关环之间的关系图，拓广了局部环和VNL环的研究.<br>In this paper, we investigate the properties of rings similar to the VNL rings. A ring R is said to be a almost weakly regular ring (almost π-regular ring, almost strongly π-regular ring), provided that for any a ∈ R, either a or 1-a is weakly regular (π-regular, strongly π-regular). We discuss extensions of these new rings and give the relationship between relevant rings, which extend the study of local rings and VNL rings
%K 几乎弱正则环 几乎π-正则环 几乎强π-正则环 环扩张&lt
%K br&gt
%K almost weakly regular ring almost π-regular ring almost strongly π-regular ring ring extension
%U http://sxzz.whu.edu.cn/sxzz/ch/reader/view_abstract.aspx?file_no=20180516&flag=1