| L－fuzzy拓扑群之间的L－fuzzy同态 |
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| 引用本文： | 方锦暄,孟广武.L－fuzzy拓扑群之间的L－fuzzy同态[J].南京师大学报,1996(4). |
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| 作者姓名： | 方锦暄 孟广武 |
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| 作者单位： | 聊城师范学院数学系(方锦暄),南京师范大学数学系(孟广武) |
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| 摘 要： | 在Ｌ－ｆｕｚｚｙ拓扑群之间引入了Ｌ－ｆｕｚｚｙ同态及Ｌ－ｆｕｚｚｙ开同态等概念,刻画了它们的基本特征．证明了Ｌ－ｆｕｚｚｙ同态是“Ｌ－ｇｏｏｄｅｘｔｅｎｓｉｏｎ”,揭示了它与分明拓扑群的同态之间的关系
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| 关 键 词： | L－fuzzy拓扑群 L－fuzzy同态 fuzzy格 群 |
On L fuzzy Homomorphisms for L fuzzy Topological Groups |
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| Abstract: | In this paper,the concepts of L fuzzy homomorphisms and open homomorphisms for L fuzzy topological groups are introduced,and their basic characterizations are given.It is proved that L fuzzy homomorphism is an " L good extension",and the relation between it and the homomorphism for crisp topological groups is exposed,and their basic properties are discussed. |
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| Keywords: | L fuzzy topological group L fuzzy homomorphism fuzzy lattice group |
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