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On a Generalization of Semicommutative Rings
  • ISSN号：2095-2651
  • 期刊名称：Journal of Mathematical Research with Applications
  • 时间：2014.5
  • 页码：253-264
  • 分类：O153.3[理学—数学;理学—基础数学] O159[理学—数学;理学—基础数学]
  • 作者机构：[1]School of Mathematical Sciences, Huaibei Normal University, Anhui 235000, P. R. China, [2]Department of Mathematics, Southeast University, Jiangsu 210096, P. R. China, [3]School of Mathematical Sciences, Yangzhou University, Jiangsu 225002, P. R. China
  • 相关基金：Supported by the National Natural Science Foundation of China （Grant No. 11171291）, the Natural Science Fund for Colleges and Universities of Jiangsu Province （Grant No. 11KJB110019） and the Foundation of Graduate Innovation Program of Jiangsu Province （Grant No. CXZZ12-0082）.Acknowledgements The authors would like to thank the referees for their time and useful comments.
  • 相关项目：若干Hopf代数的表示与相关不变量
作者： Du Cuizhen|王龙|魏俊潮|
关键词： 半交换环, W-理想, 数学分析, 环论, 模糊数学, semicommutative rings, GWZI rings, trivial extension.
中文摘要：

In this paper, a generalization of the class of semicommutative rings is investigated.A ring R is called left GWZI if for any a ∈ R, l(a) is a GW-ideal of R. We prove that a ring R is left GWZI if and only if S3(R) is left GWZI if and only if Vn(R) is left GWZI for any n ≥ 2.

英文摘要：

In this paper, a generalization of the class of semicommutative rings is investigated. A ring R is called left GWZI if for any a ∈ R, l（a） is a GW-ideal of R. We prove that a ring R is left GWZI if and only if S3（R） is left GWZI if and only if Vn（R） is left GWZI for any n≥2.

同期刊论文项目
若干Hopf代数的表示与相关不变量
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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