| 序半群的完全素和素模糊理想 |
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| 引用本文： | 唐剑,谢祥云. 序半群的完全素和素模糊理想[J]. 山东大学学报(理学版), 2010, 45(8): 93-98 |
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| 作者姓名： | 唐剑 谢祥云 |
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| 作者单位： | 1. 阜阳师范学院数学与计算科学学院, 安徽 阜阳 236041; 2. 五邑大学数理系, 广东 江门 529020 |
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| 基金项目： | the National Natural Science Foundation，GuangDong Provincial Natural Science Foundation of China，Anhui Provincial Excellent Youth Talent Foundation，Fuyang Normal College Youth Foundation |
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| 摘 要： | 通过由序模糊点生成的模糊理想给出了半单序半群的刻画。同时也刻画了两类序半群:一类是所有模糊理想是素理想;另一类是所有模糊理想是完全素理想。
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| 关 键 词： | 序模糊点 模糊理想 素模糊理想 完全素模糊理想 半单序半群, |
| 收稿时间： | 2009-05-12 |
Completely prime and prime fuzzy ideals in ordered semigroups |
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| TANG Jian,XIE Xiang-yun. Completely prime and prime fuzzy ideals in ordered semigroups[J]. Journal of Shandong University, 2010, 45(8): 93-98 |
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| Authors: | TANG Jian XIE Xiang-yun |
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| Affiliation: | 1. School of Mathematics and Computational Science, Fuyang Normal College, Fuyang 236041, Anhui, China;
2. Department of Mathematics and Physics, Wuyi University, Jiangmen 529020, Guangdong, China |
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| Abstract: | Semisimple ordered semigroups are characterized by fuzzy ideals generated by ordered fuzzy points. Furthermore, ordered semigroups of all fuzzy ideals of which are prime fuzzy ideals, and ordered semigroups all fuzzy ideals of which are completely prime fuzzy ideals. |
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| Keywords: | ordered fuzzy point fuzzy ideal prime fuzzy ideal completely prime fuzzy ideal semisimple ordered semigroup |
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