摘要
在强正则环的基础上引入几乎强正则环的概念,它们是介于局部环和VNL环之间的一类环.给出几乎强正则环的若干例子,讨论它们的扩张.
We introduce in this paper the concept of almost strongly regular rings on the basis of strong regular rings.These rings are interposed between local rings and VNL rings.We present some examples of almost strongly regular rings and investigate their extensions.
作者
王尧
杨圳
任艳丽
WANG Yao;YANG Zhen;REN Yan-li(School of Mathematics and Statistics,Nanjing University of Information Science and Technology,Nanjing 210044,China;School of and Information Engineerng,Nanjing Xiaozhuang University,Nanjing 211171,China)
出处
《数学的实践与认识》
北大核心
2019年第13期219-224,共6页
Mathematics in Practice and Theory
基金
国家自然科学基金(11071097)
江苏省自然科学基金(BK20181406)
关键词
几乎强正则环
局部环
VNL环
环扩张
almost strongly regular rings
local ring
VNL ring
ring extension
