| 半群上广义的素同余 |
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| 引用本文： | 尹逊娟,张建奎,夏保芹.半群上广义的素同余[J].山东师范大学学报(自然科学版),2006,21(3):18-19. |
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| 作者姓名： | 尹逊娟 张建奎 夏保芹 |
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| 作者单位： | 1. 山东师范大学数学科学学院,250014,济南
2. 潍坊职业学院信息工程学系,261041,山东潍坊 |
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| 摘 要： | 讨论了素同余和半素同余．证明了每个半素同余是素同余的交．推广了有关该知识的最新结果．
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| 关 键 词： | 素同余 半素同余 半素理想 完全半素理想 完全素理想 |
| 收稿时间： | 2006-06-13 |
| 修稿时间： | 2006-06-13 |
GENERALIZED PRIME CONGRUENCE ON SEMIGROUPS |
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| Yin Xunjuan,Zhang Jiankui,Xia Baoqin.GENERALIZED PRIME CONGRUENCE ON SEMIGROUPS[J].Journal of Shandong Normal University(Natural Science),2006,21(3):18-19. |
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| Authors: | Yin Xunjuan Zhang Jiankui Xia Baoqin |
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| Institution: | 1. School of Mathematics Science, Shandong Normal University,250014, Jinan, China; 2Department of Information, Weifang Vocational College,261041,Weifang,Shandong,China |
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| Abstract: | Guo Yuqi showed that every completely semiprime congruence is an intersection of completely prime congruences on an arbitrary semigroup. In this paper,prime and semiprime congruences are considered. It is showed every semiprime congruence is an intersection of prime congruences. |
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| Keywords: | prime congruence semipfime congruence semipfime ideal completely semiprime ideal completely prime ideal |
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