| Results of Associated Implication Algebra on a Partial Ordered Set |
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| 作者姓名： | 伊良忠 裴峥 宋文 |
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| 作者单位： | [1]Department of Applied Mathematics, Southwest Jiaotong University, Chengdu 610031, China [2]School of Mathematics and Computer Engineering, Xihua University, Chengdu 610039, China |
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| 基金项目： | Foundation item, Science ＆ Technology Department of Sichuan Province, China（No. 03226125） ; the Education Foundation of Sichuan Province, China （No.2006A084） |
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| 摘 要： |
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| 关 键 词： | 半序集 蕴涵代数 连带整函数 解题方法 |
| 文章编号： | 1672-5220（2007）02-0293-04 |
| 修稿时间： | 2006-08-20 |
Results of Associated Implication Algebra on a Partial Ordered Set |
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| YI Liang-zhong,PEI Zheng,SONG Wen.Results of Associated Implication Algebra on a Partial Ordered Set[J].Journal of Donghua University,2007,24(2):293-296. |
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| Authors: | YI Liang-zhong PEI Zheng SONG Wen |
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| Institution: | 1. Department of Applied Mathematics, Southwest Jiaotong University, Chengdu 610031, China;School of Mathematics and Computer Engineering, Xihua University, Chengdu 610039, China
2. School of Mathematics and Computer Engineering, Xihua University, Chengdu 610039, China |
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| Abstract: | Some sufficient and necessary conditions that implication algebra on a partial ordered set is associated implication algebra are obtained, and the relation between lattice H implication algebra and associated implication algebra is discussed. Also, the concept of filter is proposed with some basic properties being studied. |
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| Keywords: | partial ordered set implication algebra associated implication algebra lattice H implication algebra filter |
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