几乎强正则环及其扩张

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英文篇名：Almost Strongly Regular Rings and Their Extensions 作者：王尧 ; 杨圳 ; 任艳丽 英文作者：WANG Yao;YANG Zhen;REN Yan-li;School of Mathematics and Statistics, Nanjing University of Information Science and Technology;School of and Information Engineerng, Nanjing Xiaozhuang University; 关键词：几乎强正则环 ; 局部环 ; VNL环 ; 环扩张 英文关键词：almost strongly regular rings;;local ring;;VNL ring;;ring extension 中文刊名：SSJS 英文刊名：Mathematics in Practice and Theory 机构：南京信息工程大学数学与统计学院;南京晓庄学院信息工程学院; 出版日期：2019-07-08 出版单位：数学的实践与认识 年：2019 期：v.49 基金：国家自然科学基金(11071097);; 江苏省自然科学基金(BK20181406) 语种：中文; 页：SSJS201913024 页数：6 CN：13 ISSN：11-2018/O1 分类号：221-226

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.

引文

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