几乎强正则环及其扩张  

Almost Strongly Regular Rings and Their Extensions

作　　者：王尧[1] 杨圳 任艳丽[2] 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)

机构地区：[1]南京信息工程大学数学与统计学院,江苏南京210044 [2]南京晓庄学院信息工程学院,江苏南京211171

出　　处：《数学的实践与认识》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)

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.

关 键 词：几乎强正则环 局部环 VNL环 环扩张 

分 类 号：O153.3[理学—数学]