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山东大学学报(理学版) ›› 2016, Vol. 51 ›› Issue (12): 10-16.doi: 10.6040/j.issn.1671-9352.0.2016.192

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GWCN环的若干性质

张子珩,储茂权*,殷晓斌   

  1. 安徽师范大学数学计算机科学学院, 安徽 芜湖 241000
  • 收稿日期:2016-04-28 出版日期:2016-12-20 发布日期:2016-12-20
  • 通讯作者: 储茂权(1958— ), 男, 副教授, 硕士生导师, 研究方向为代数学. E-mail:1034792284@qq.com E-mail:731168212@qq.com
  • 作者简介:张子珩(1992— ), 女, 硕士研究生, 研究方向为代数学. E-mail:731168212@qq.com
  • 基金资助:
    国家自然科学基金资助项目(11401009)

Some properties of GWCN rings

ZHANG Zi-heng, CHU Mao-quan*, YIN Xiao-bin   

  1. College of Mathematics and Computer Science Anhui Normal University, Wuhu 241000, Anhui, China
  • Received:2016-04-28 Online:2016-12-20 Published:2016-12-20

摘要: 给出了GWCN环的一些例子,研究了GWCN环的扩张,讨论了GWCN环的正则性和clean性。

关键词: 约化环, exchange环, 正则环, GWCN环, clean环, 强正则环

Abstract: Some examples of GWCN rings are given. Some extensions of GWCN rings are studied. And the regularity and exchange properties of GWCN rings are discussed.

Key words: regular ring, reduced ring, GWCN ring, exchange ring, clean ring, strong regular ring

中图分类号: 

  • O153.3
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