| 乘法模的Kothe根（英文） |
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| 引用本文： | 王飞飞,郑清月,陈淼森.乘法模的Kothe根（英文）[J].南京大学学报(自然科学版),2014,31(1):22-31. |
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| 作者姓名： | 王飞飞 郑清月 陈淼森 |
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| 作者单位： | 浙江师范大学数学系,金华,321004 |
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| 摘 要： | 本文将有关环的幂零和指零理想的结论推广到乘法模.定义和刻画了乘法模的Kothe根并研究了Kothe半单乘法模的相关性质.
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| 关 键 词： | 乘法模 幂零子模 诣零子模 Kothe根 Kothe半单模 |
KOTHE RADICAL OF MULTIPLICATION MODULES |
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| Wang Feifei,Zheng Qingyue,Chen Miaosen.KOTHE RADICAL OF MULTIPLICATION MODULES[J].Journal of Nanjing University: Nat Sci Ed,2014,31(1):22-31. |
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| Authors: | Wang Feifei Zheng Qingyue Chen Miaosen |
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| Institution: | 1.Department of Mathematics, Zhejiang Normal University, 321004, Jinhua PRC;) |
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| Abstract: | In this paper,we firstly extend some results of the nilpotent and nil ideals of rings to multiplication modules by investigating the nilpotent and nil submodules of multiplication modules.Then define and characterize the Kothe radical of a multiplication module and finally obtain some related results of Kothe semisimple modules. |
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| Keywords: | multiplication modules nilpotent submodules nil submodules Kothe radical Kothe semisimple modules |
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