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关于强Clean一般环
  • ISSN号：2095-2651
  • 期刊名称：《数学研究及应用：英文版》
  • 时间：0
  • 分类：O153[理学—数学;理学—基础数学]
  • 作者机构：[1]东南大学数学系,江苏南京210096
  • 相关基金：the Foundation for Excellent Doctoral Dissertation of Southeast University （YBJJ0507）; the National Natural Science Foundation of China （10571026）; the Natural Science Foundation of Jiangsu Province （Bk2005207）.
作者： 王周[1], 陈建龙[1]
关键词： 强clean一般环, 强π-正则一般环, 上三角矩阵环, strongly clean general ring, strongly π-regular general ring, upper triangular matrix ring.
中文摘要：

本文介绍了强clean一般环的概念并将一些基本的结果推广到这个更广的环类证明了强clean一般环的角落环和强π-正则一般环都是强clean的，还讨论了强clean一般环的扩张并且证明了满足条件J（Z）=Q（I）的交换clean一般环的上三角矩阵环是强clean的．

英文摘要：

In this paper, we introduce the concept of strongly clean general ring （with or without unity） and extend some of the basic results to a wider class. We prove that every strongly π-regular general ring is strongly clean and the corner of the strongly clean general ring is strongly clean. It is also proved that upper triangular matrix rings of the commutative clean general ring with J（I） = Q（I） are strongly clean.

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期刊信息
  • 《数学研究及应用：英文版》
  • 中国科技核心期刊
  • 主管单位:国家教育部
  • 主办单位:大连理工大学
  • 主编：王仁宏
  • 地址：大连理工大学应用数学系
  • 邮编：116024
  • 邮箱：
  • 电话：0411-84707392
  • 国际标准刊号：ISSN：2095-2651
  • 国内统一刊号：ISSN：21-1579/O1
  • 邮发代号:8-92
  • 获奖情况:
  • 1998年大连市优秀期刊奖,2000年大连市优秀期刊奖
  • 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:36