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拟半-clean环的若干研究
  • ISSN号：1674-5647
  • 期刊名称：《数学研究通讯：英文版》
  • 时间：0
  • 分类：O153.3[理学—数学;理学—基础数学]
  • 作者机构：[1]安徽师范大学数学计算机科学学院,安徽芜湖241000
  • 相关基金：国家自然科学基金资助项目（10571026）; 安徽省教育厅自然科学研究重点项目（KJ2010A126）
作者： 梅玉霞[1], 宋贤梅[1]
关键词： 拟半-clean环, 拟正则元, 周期元, quasi-semiclean rings , quasi-regular elements , priodieal elements
中文摘要：

引入了拟半-clean环的定义,如果环R中每个元素都可以写成一个拟正则元和一个周期元的和的形式,称R为拟半-clean环。研究了拟半-clean环的相关性质,从而推广了clean环,半-clean,及拟clean环中的若干结果。

英文摘要：

The concept of quasi-semi-clean ring is defined. A Ring R is quasi-semi-clean if each of its ele- ments is the sum of a quasi-regular element and a periodical element. We investigated some general properties of quasi-semi-clean rings and generalized the known results on clean rings, semi-clean rings, and quasi-clean rings.

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期刊信息
  • 《数学研究通讯：英文版》
  • 中国科技核心期刊
  • 主管单位:教育部
  • 主办单位:吉林大学
  • 主编：尹景学
  • 地址：长春市前进大街2699号吉林大学数学研究所内
  • 邮编：130012
  • 邮箱：
  • 电话：0431-5166424
  • 国际标准刊号：ISSN：1674-5647
  • 国内统一刊号：ISSN：22-1369/O1
  • 邮发代号:12-134
  • 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
  • 被引量:5