| 正则半群的模糊同余三元组 |
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| 引用本文： | 李勇华,徐成贤. 正则半群的模糊同余三元组[J]. 西安交通大学学报, 2002, 36(4): 418-421 |
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| 作者姓名： | 李勇华 徐成贤 |
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| 作者单位： | 西安交通大学理学院,710049,西安 |
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| 基金项目： | 国家自然科学基金资助项目（19971028）． |
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| 摘 要： | 考虑一般的正则半群上的模糊同余，定义了正则半群的模糊同余三元组的概念，证明了正则半群上的模糊同余由它的模糊同余三元组惟一确定，进而得到正则半群上的模糊同余集和模糊同余三元组集之间存在一一对应关系。
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| 关 键 词： | 正则半群 模糊同余三元组 Green等价关系 |
| 文章编号： | 0253-987X(2002)04-0418-04 |
| 修稿时间： | 2000-07-15 |
Fuzzy Congruence Triples for a Regular Semigroup |
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| Li Yonghua,Xu Chengxian. Fuzzy Congruence Triples for a Regular Semigroup[J]. Journal of Xi'an Jiaotong University, 2002, 36(4): 418-421 |
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| Authors: | Li Yonghua Xu Chengxian |
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| Abstract: | It is first introduced that the concept of fuzzy congruence triple of a fuzzy congruence on a regular semigroup, and then showed that each fuzzy congruence on a regular semigroup is uniquely determined by its fuzzy congruence triple. Finally, it is obtained that there exists a one to one correspondence between fuzzy congruence triples and fuzzy congruences on a regular semigroup. |
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| Keywords: | fuzzy congruence fuzzy congruence triple L(R) part Green's equivalence relations regular semigroup |
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