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