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文章基本信息

  • 标题:On clean ideals
  • 本地全文:下载
  • 作者:Huanyin Chen ; Miaosen Chen
  • 期刊名称:International Journal of Mathematics and Mathematical Sciences
  • 印刷版ISSN:0161-1712
  • 电子版ISSN:1687-0425
  • 出版年度:2003
  • 卷号:2003
  • 期号:62
  • 页码:3949-3956
  • DOI:10.1155/S0161171203211339
  • 出版社:Hindawi Publishing Corporation
  • 摘要:

    We introduce the notion of clean ideal, which is a natural generalization of clean rings. It is shown that every matrix ideal over a clean ideal of a ring is clean. Also we prove that every ideal having stable range one of a regular ring is clean. These generalize the corresponding results for clean rings.

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