| 半群的模糊同余扩张 |
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| 引用本文： | 谢祥云.半群的模糊同余扩张[J].数学进展,2001,30(3):218-230. |
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| 作者姓名： | 谢祥云 |
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| 作者单位： | 五邑大学数理系 |
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| 基金项目： | Project supported by the NSFC (No. 60075014)
and Guangdong Provincial Natural Science Foundation of China
(990825, 000864). |
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| 摘 要： | 本文引入半群的模糊同余扩张的概念，给出了模糊同余扩张的同态性质，同时，本文研究了带有模糊同余扩张性质的半群类，证明了一个半群S有模糊同余扩张性质当且仅当S有同余扩张性质，最后进一步给出 有模糊同余张张性质的半群类的特征。
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| 关 键 词： | 同态性质 半群类 模糊同余 模糊同余扩张 模糊同余性质 半群 |
| 修稿时间： | 1998年6月29日 |
Fuzzy Congruences Extensions in Semigroups |
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| Xie Xiangyun.Fuzzy Congruences Extensions in Semigroups[J].Advances in Mathematics,2001,30(3):218-230. |
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| Authors: | Xie Xiangyun |
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| Abstract: | We introduce the concept of fuzzy congruence extensions for subsemigroups of a semigroup S, and give some homomorphic properties of fuzzy congruences extensions. We also introduce the notion of fuzzy congruence extension property (abbr. FCEP) on a semigroup S, and prove that a semigroup has FCEP if and only if S has CEP. Furthermore, some properties of a semigroup with FECP are discussed. |
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| Keywords: | fuzzy congruence fuzzy congruence extension fuzzy congruences property semigroup |
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