| 半群的完全素和素模糊理想 |
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| 引用本文： | 谢祥云,谢霖铨. 半群的完全素和素模糊理想[J]. 模糊系统与数学, 2000, 14(2): 9-14 |
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| 作者姓名： | 谢祥云 谢霖铨 |
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| 作者单位： | 1. 五邑大学,数理系,广东江门,529020
2. 南方冶金学院,江西赣州,341000 |
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| 基金项目： | 国家自然科学基金，广东省自然科学基金 |
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| 摘 要： | 通过由模糊点生成的模糊理想给出了半单半群的刻画。同时也刻画了两类半群：一类是所有模糊理想是素理想。另一类是所有模糊理想为安全素理想。
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| 关 键 词： | 素模糊理想 完全素模糊理想 半单半群 半群 |
On Completely Prime, Prime Fuzzy Ideals in Semigroups |
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| XIE Xiang-yun,XIE Lin-quan. On Completely Prime, Prime Fuzzy Ideals in Semigroups[J]. Fuzzy Systems and Mathematics, 2000, 14(2): 9-14 |
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| Authors: | XIE Xiang-yun XIE Lin-quan |
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| Abstract: | We shall characterize semisimple semigroups by fuzzy ideals generated by fuzzy points,and characterize semigroups all fuzzy ideals of which are prime fuzzy ideals,and semigroups all fuzzy ideal of which are completely prime fuzzy ideals. |
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| Keywords: | Fuzzy Ideal Prime Fuzzy Ideal Completely Prime Fuzzy Ideal Semisimple Semigroup |
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