| 有限单纯格蕴涵代数 |
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| 引用本文： | 朱怡权. 有限单纯格蕴涵代数[J]. 数学季刊, 2008, 23(3) |
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| 作者姓名： | 朱怡权 |
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| 摘 要： |
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| 关 键 词： | 有限单纯格 蕴涵代数 模糊数学 抽象代数 |
Finite Simple Lattice Implication Algebras |
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| ZHU Yi-quan. Finite Simple Lattice Implication Algebras[J]. Chinese Quarterly Journal of Mathematics, 2008, 23(3) |
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| Authors: | ZHU Yi-quan |
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| Affiliation: | Department of Basic Science, Guangzhou Maritime College, Guangzhou 510725, China |
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| Abstract: | In this paper,some necessary and sufficient conditions that a finite lattice implication algebra is simple are established.Specially,it is proved that a finite lattice implication algebra L is simple if and only if (L,≤) is a chain,if and only if there exists the unique dual atom in L.Also,it is given that a finite lattice implication algebra with order of a prime number is simple. |
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| Keywords: | lattice implication algebra simplicity periodicity |
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