| 半质环的极大零化左理想 |
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| 引用本文： | 刘先忠. 半质环的极大零化左理想[J]. 长江大学学报(社会科学版), 1996, 0(5) |
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| 作者姓名： | 刘先忠 |
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| 摘 要： | 证明了两个定理，即（１）设Ｒ是半质环，则Ｒ含有极小左理想当且仅当Ｒ含有极大零化左理想；（２）设Ｒ是不含非零幂零元的质环，则Ｒ只有平凡的左理想或Ｒ不含极小左理想
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| 关 键 词： | 极大零化左理想；半质环；质环；极小左理想 |
ON MAXIMAL ANNIHITALOR LEFTIDEAL OF SEMIPRIME RINGS |
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| Liu Xiangzhong. ON MAXIMAL ANNIHITALOR LEFTIDEAL OF SEMIPRIME RINGS[J]. Journal of Yangtze University(Social Sciences), 1996, 0(5) |
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| Authors: | Liu Xiangzhong |
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| Affiliation: | Department of Mathematics |
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| Abstract: | In this paper, we have proved:(1)Let R be a semiprime ring. then R is a ring with minimal left ideal if and only if R is a ring with maximal annihitalor left ideal;(2)A prime ring R has not mon-zero milelaments, then R is not a ring with minimal left ideal or only has trivial left ideals. |
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| Keywords: | maximal annihitalor left ideal of rings semiprime rings prime rings minimal let ideal |
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