| Fuzzy群中的Fuzzy同余关系与正规Fuzzy子群 |
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| 引用本文： | 谭宜家.Fuzzy群中的Fuzzy同余关系与正规Fuzzy子群[J].福州大学学报(自然科学版),1995(2):1-6. |
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| 作者姓名： | 谭宜家 |
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| 作者单位： | 福州大学数学系 |
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| 摘 要： | 讨论了Ｆｕｚｚｙ群中Ｆｕｚｚｙ同余关系与正规Ｆｕｚｚｙ子群的联系，证明所有Ｆｕｚｚｙ同余关系所组成的格同构于所有正规拟子群所组成的格。还讨论了正规Ｆｕｚｚｙ子群直积的几个性质。
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| 关 键 词： | Fuzzy同余关系 正规Fuzzy子群 Fuzzy直积 |
Fuzzy Congruences and Normal Fuzzy Subgroups in a Fuzzy Group |
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| Tan Yijia.Fuzzy Congruences and Normal Fuzzy Subgroups in a Fuzzy Group[J].Journal of Fuzhou University(Natural Science Edition),1995(2):1-6. |
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| Authors: | Tan Yijia |
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| Institution: | Tan Yijia (Department of Mathematics, Fuzhou University, Fuzhou, 350002) |
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| Abstract: | In this paper, we study the relationship between fuzzy congruences and normal fuzzy subgroups in a fuzzy group, and prove that the lattice of all fuzzy congruences is isomorpic to the lattice of all normal quasi-subgroups in a fuzzy group.We also discuss some properties of the fuzzy direct products of normal fuzzy subgroups. |
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| Keywords: | fuzzy congruence normal fuzzy subgroup fuzzy direct product |
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