| 关于超幂零根格与特别根格的原子 |
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| 引用本文： | 钟德强.关于超幂零根格与特别根格的原子[J].湖南工业大学学报,1994(4). |
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| 作者姓名： | 钟德强 |
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| 作者单位： | 株洲工学院基础课部!株洲412008 |
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| 摘 要： | 本文讨论了超幂零根格与特别根格的原子问题,给出了包含环R的最小超幂零根ZR是超幂零根格的原子的充要条件及包含环R的最小特别根ZR特别根格的充要条件。最后给出了France-Jackson提出的一个问题的部分回答。
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| 关 键 词： | 超幂零根格 特别根格 原子 |
On Atoms of the Lattices of Supernilpotent Radicals and Special Radicals |
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| Zhong Deqiang.On Atoms of the Lattices of Supernilpotent Radicals and Special Radicals[J].Journal of Hnnnan University of Technology,1994(4). |
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| Authors: | Zhong Deqiang |
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| Abstract: | This paper discusses atoms of the lattice K of supernilpo-tent radicals and the lattice Sp of special radicals. For a ring R,let lR denote the smallest supernilpotent radical containing A,lR denote the smallest Special radical containing A. We give some necessary and sufficient conditions that lR is an atom of K and lR is an atom of Sp . Finally we give an answer to a question of France-Jackson(4). |
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| Keywords: | Lattice of supernilpotent radical Lattice of special radical Atom |
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