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(自然科学版), 1996, 0(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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