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关于r-semiclean环
  • ISSN号：0255-7797
  • 期刊名称：《数学杂志》
  • 时间：0
  • 分类：O153.3[理学—数学;理学—基础数学]
  • 作者机构：[1]安徽师范大学数学系,安徽芜湖241000
  • 相关基金：Supported by NSFC(10571026);the Key NSF of Anhui Educational Committe(KJ2010A126)
作者： 宋贤梅[1], 梅玉霞[1]
关键词： CLEAN环, 半-clean环, r-semiclean环, clean rings, semiclean rings, r-semiclean rings
中文摘要：

本文定义了一种新的环r—semiclean环．环R称为r-semiclean的是指R中的每个兀素都可以写成一个正则元和一个周期元的和．本文主要利用环论的方法研究了r．semiclean环的相关性质，推广fclean环和半-clean环的已知结果．

英文摘要：

In this paper, the notion of the new ring, i.e., a r-semiclean is defined. A ring R, each of whose element is the sum of a regular and a periodic element, is said to be r-semiclean. Some general properties of r-semiclean are investigated based on the theory of rings, which generalize some known results on clean rings and semiclean rings.

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期刊信息
  • 《数学杂志》
  • 北大核心期刊（2011版）
  • 主管单位:中华人民共和国教育部
  • 主办单位:武汉大学 湖北省数学学会 武汉数学学会
  • 主编：陈化
  • 地址：湖北武汉大学
  • 邮编：430072
  • 邮箱：jmath@whu.edu.cn
  • 电话：027-68754687
  • 国际标准刊号：ISSN：0255-7797
  • 国内统一刊号：ISSN：42-1163/O1
  • 邮发代号:38-71
  • 获奖情况:
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:3910