| Fuzzy蕴涵代数的素MP-滤子空间(英文) |
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| 引用本文： | 刘春辉,徐罗山.Fuzzy蕴涵代数的素MP-滤子空间(英文)[J].数学季刊,2012(2):246-253. |
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| 作者姓名： | 刘春辉 徐罗山 |
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| 作者单位： | Department of Elementary Education,Chifeng University;Department of Mathematics Science,Yangzhou University |
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| 基金项目： | Supported by the NSF of China(10371106,60774073) |
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| 摘 要： | In this paper,the topological space(PFMP（X）,T) based on prime MP-filters of a lattice FI-algebra X is constructed firstly and we proved that it is a compact T0-space if X with condition（P）.Secondly,we restricted T to the set of all maximal MP-filters MFMP（X） of X and concluded that(PFMP（X）,T |PFMP（X） )is a compact T2 space if X with conditions（P） and（S）.
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| 关 键 词： | Fuzzy implication algebra MP-filter prime MP-filter topological space |
Prime MP-filter Spaces of Fuzzy Implication Algebras |
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| LIU Chun-hui,XU Luo-shan.Prime MP-filter Spaces of Fuzzy Implication Algebras[J].Chinese Quarterly Journal of Mathematics,2012(2):246-253. |
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| Authors: | LIU Chun-hui XU Luo-shan |
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| Institution: | 1.Department of Elementary Education,Chifeng University,Chifeng 024001,China;2.Department of Mathematics Science,Yangzhou University,Yangzhou 225002,China) |
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| Abstract: | In this paper,the topological space（ρf（MP）（X）Τ,） based on prime MP-filters of a lattice FI-algebra X is constructed firstly and we proved that it is a compact Τ0-space if X with condition（P）.Secondly,we restricted Τ to the set of all maximal MP-filters MF（MP）（X） of X and concluded that(PFMP（X）,Τ |ρFMP（X） )is a compact Τ2 space if X with conditions（P） and（S）. |
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| Keywords: | Fuzzy implication algebra MP-filter prime MP-filter topological space |
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