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强f-clean环

Strongly F-Clean Rings
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摘要 文章引进强f-clean环的概念,证明强f-clean环的同态象、直积、对角矩阵仍是强f-clean环,讨论强f-clean环与强正则环、强clean环之间的关系. In this paper,the concept of strongly f-clean rings is introduced,and it is proved that the image of homomorphism,direct produce,diagonal matrix of strongly f-clean rings are also strongly f-clean rings.The relationships among the strongly f-clean rings,strongly regular rings and strongly clean rings are also studied.
作者 刘丽 任艳丽
出处 《南京晓庄学院学报》 2011年第3期11-14,共4页 Journal of Nanjing Xiaozhuang University
基金 江苏省"青蓝工程"中青年学术带头人基金
关键词 强f-clean环 强正则环 强clean环 strongly f-clean rings strongly regular rings strongly clean rings
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参考文献7

  • 1Nicholson W K. Lifting idempotents and exchange rings [ J ]. Transactions of the American Mathematical Society, 1977, 229: 269- 278.
  • 2Nicholson W K. Strongly clean rings and ftting'lemma [J]. Comm Algebra, 1999, 27(8) : 3583 -3592.
  • 3Ye Yuanqing. Seaiclean rings [J]. Comm Algebra, 2003, 31 : 5609 -5625.
  • 4Xiao Guangshi. N-clean rings and wealy unit stable range rings [J]. Comm Algebra, 2005, 33:1501 -1517.
  • 5Anderson D D, Carnillo V P. Commutative rings whose elements are a sum of a unit and idempotent [ J ]. Comm Algebra, 2002, 30 : 3327 - 3336.
  • 6Camillo V P, Yu H P. Exchange rings, units and idempotents [J]. Comm Algebra, 1994, 22(12) : 4737-4749.
  • 7Hungerford T W. Algebra [M]. GTM73. New York: Springer Verlang, 1974.

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