| L—Fuzzy拓扑群范畴 |
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| 引用本文： | 周相泉.L—Fuzzy拓扑群范畴[J].烟台大学学报(自然科学与工程版),1998,11(2):85-90. |
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| 作者姓名： | 周相泉 |
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| 作者单位： | 聊城师范学院学报编辑部 |
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| 摘 要： | 介绍了 Ｌ－Ｆｕｚｚｙ拓群范畴，引入了两个函了了，构造了它们的右伴随函数子，证明了分明拓扑群范畴和诱导Ｌ－Ｆｕｚｚｙ拓扑群范畴都是Ｌ－Ｆｕｚｚｙ拓扑群范畴的余反射子范畴，引入了一遗忘函子，
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| 关 键 词： | 范畴 函子 LF拓扑群 LF拓扑空间 拓扑群 |
The Category of L Fuzzy Topological Groups |
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| Zhou Xiangquan.The Category of L Fuzzy Topological Groups[J].Journal of Yantai University(Natural Science and Engineering edirion),1998,11(2):85-90. |
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| Authors: | Zhou Xiangquan |
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| Abstract: | The category of L fuzzy topological groups is introduced.Two functors are given,and their right adjoints are structured. Based on basis,it is proved that both the category of crisp topological groups and the category of L fuzzy induced topological groups are coreflective subcategory of L fuzzy topological groups. The forgetful functor is present,and by structuring its left and right adjoints the inner relation between category of crisp groups and category of L fuzzy topological groups is revealed. |
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| Keywords: | L fuzzy topological group category functor adjoint L fuzzy topological space |
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