| 格群上的Fuzzy同余关系与正规不变Fuzzy子格群 |
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| 引用本文： | 谭宜家. 格群上的Fuzzy同余关系与正规不变Fuzzy子格群[J]. 内蒙古师范大学学报(自然科学版), 1995, 0(1): 10-14 |
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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： | 探讨了格群上Fuzzy同余关系与正规不变Fuzzy子格群的联系，证明了格群上的全体Fuzzy同余关系关于Fuzzy集合的包含关系构成一个模格，并证明格群上的Fuzzy同余关系格同构于格群上全体正规不变Fuzzy子格群组成的格。
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| 关 键 词： | 模糊同余关系 格群 模糊子格群 |
Fuzzy Congruences and Normal Unchangeable Fuzzy Sublattice Group on a Lattice-Ordered Group |
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| Tan Yijia. Fuzzy Congruences and Normal Unchangeable Fuzzy Sublattice Group on a Lattice-Ordered Group[J]. Journal of Inner Mongolia Normal University(Natural Science Edition), 1995, 0(1): 10-14 |
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| Authors: | Tan Yijia |
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| Abstract: | In this paper,we further investigate the relationship between fuzzy congruences and normal unchangeable fuzzy sublattice groups on a lattice-ordered group,and prove that the set of all fuzzy congruences on a lattice-ordered group forms a modular lattice. We also prove that the lattice of all fuzzy congruences is isomorphism to the lattice of all normal unchangeable fuzzy sublattice groups on a lat-tice-ordered group. |
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| Keywords: | Fuzzy congruence Normal unchangeable Fuzzy Sublattice group Moduiar lattice Isomorphism |
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