摘要
在这份报纸，有限格子含意代数学简单的一些必要、足够的条件是 established.Specially ，如果并且仅当，有限格子含意代数学 L 简单，这被证明如果并且仅当( L ，)是链，如果并且仅当在那里存在在 L.Also 的唯一的双原子，有一个素数的顺序的有限格子含意代数学简单，这被给。
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.
基金
Supported by a grant of Natural Science Foundation of Guangdong Province in China（021073）
