有限单纯格蕴涵代数

时间:2023-04-26 21:59:30 数理化学论文 我要投稿
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有限单纯格蕴涵代数

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.

作 者: 朱怡权 ZHU Yi-quan   作者单位: Department of Basic Science,Guangzhou Maritime College,Guangzhou 510725,China  刊 名: 数学季刊(英文版)  ISTIC PKU 英文刊名: CHINESE QUARTERLY JOURNAL OF MATHEMATICS  年,卷(期): 2008 23(3)  分类号: O159 O153  关键词: lattice implication algebra   simplicity   periodicity  

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