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n-clean一般环 被引量:1

N-clean General Rings
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摘要 引入了N-clean一般环的概念,讨论了n-clean一般环的性质,特别地证明了I是n-clean一般环当且仅当I上的m阶全矩阵环Mm(I)也是n-clean一般环. The notion of n-clean general rings and their properties are discussed. It is proved that I is an n-clean general ring if and only if Mm(I) is an n-clean general ring.
作者 王静
出处 《甘肃科学学报》 2007年第1期26-28,共3页 Journal of Gansu Sciences
关键词 n-clean环 n-clean一般环 幂等元 单位 n-clean ring n-clean general ring idempotent unit
  • 相关文献

参考文献9

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二级参考文献4

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共引文献2

同被引文献7

  • 1NICHOLSIN W K. Lifting idempotents and exchange Rings [ J ]. Amer, Math. Soc. , 1977,229:269 -278.
  • 2NICHOLSON W K, ZHOU Y. Clean general rings [ J ]. Journal of Algebra,2005,291:297 - 311.
  • 3YUANQING Y. Semiclean rings[ J ]. Communication in algebra,2003,31 (11 ) :5609 -5625.
  • 4XIAO G S, TONG W T. n -clean rings and weakly unit stable range rings [ J ]. Communication in Algebra ,2005,33 (5) : 1501 - 1517.
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  • 6NICHOLSON H. Extensions of clean rings[J]. Communication in Algebra, 2001,29:2589 -2595.
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引证文献1

  • 1闫晓慧,肖光世.半-clean一般环[J].西安文理学院学报(自然科学版),2010,13(1):12-14.

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