Finite Simple Lattice Implication Algebras  

作　　者：ZHU Yi-quan 

机构地区：[1]Department of Basic Science, Guangzhou Maritime College, Guangzhou 510725, China

出　　处：《Chinese Quarterly Journal of Mathematics》2008年第3期423-429,共7页数学季刊（英文版）

基　　金：Supported by a grant of Natural Science Foundation of Guangdong Province in China（021073）

摘　　要：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.

关 键 词：lattice implication algebra SIMPLICITY PERIODICITY 

分 类 号：O159[理学—数学] O153[理学—基础数学]