| 半-clean一般环 |
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| 引用本文： | 闫晓慧,肖光世.半-clean一般环[J].西安文理学院学报,2010,13(1):12-14. |
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| 作者姓名： | 闫晓慧 肖光世 |
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| 作者单位： | 南京航空航天大学数学系,江苏南京210016 |
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| 摘 要： | 设R是有单位元的结合环,如果x∈R,x=a+u,其中a是周期的(即对于某正整数k和l(k≠l)有ak=al,a∈R),且u是R的单位,那么称R为半-clean环.文中定义了半-clean一般环(有单位元或无单位元),并讨论了半-clean一般环的一些性质.
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| 关 键 词： | clean环 半-clean环 半-clean一般环 |
Semi-clean General Rings |
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| YAN Xiao-hui,XIAO Guang-shi.Semi-clean General Rings[J].Journal of Xi‘an University of Arts & Science:Natural Science Edition,2010,13(1):12-14. |
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| Authors: | YAN Xiao-hui XIAO Guang-shi |
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| Institution: | YAN Xiao-hui,XIAO Guang-shi (Department of Mathematics,Nanjing University of Aeronautics , Astronautics,Nanjing 210016,China) |
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| Abstract: | An associative ring R with unity is called semi-clean if where is periodic,i.e.,for some positive integers and and is a unit in.In this paper,the semi-clean general rings(with or without a unity) are defined and some properties of semi-clean general rings are discussed. |
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| Keywords: | clean rings semi-clean rings semi-clean general rings |
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