| 结合环的一个结构定理 |
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| 引用本文： | 殷志云.结合环的一个结构定理[J].中南大学学报(自然科学版),1993(6). |
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| 作者姓名： | 殷志云 |
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| 作者单位： | 中南工业大学应用数学力学系 长沙，410083 |
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| 基金项目： | 国家教委回国人员科研基金 |
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| 摘 要： | 本文讨论了一般结合环与(左)S-单式周期环在一定条件下的结构问题,得出它们分别是局部交换环与诣零交换环,或为局部交换环的亚直和。同时,推广和改进了文献l]的结果。
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| 关 键 词： | 周期环 诣零交换环 局部交换环 |
A STRUCTURE THEOREM OF ASSOCIATIVE RINGS |
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| Yin Zhiyun.A STRUCTURE THEOREM OF ASSOCIATIVE RINGS[J].Journal of Central South University:Science and Technology,1993(6). |
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| Authors: | Yin Zhiyun |
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| Affiliation: | Yin Zhiyun Department of Applied Mathematics and Mechanics,Central South University of Technology,Changsha,410083,China |
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| Abstract: | This note has discussed the structures of associative rings and (left) s-unital periodic
rings for satisfying definitive conditions. It is suggested that they are subdirect sums of local
commutative rings and nil commutative rings, or of local commutative rings. |
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| Keywords: | periodic ring nil commutative ring local commutative ring |
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