利用系数矩阵和极大项，证明了这类李代数是半单李代数且没有二维交换子代数。

Using the notion of coefficient matrix and maximal element. We prove that the Lie algebra is semi-simple and it has no abelian two dimensional subalgebra.

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极小项和极大项是主范式问题的核心，体现了命题公式的成真赋值和成假赋值以及公式类型等诸多特征。

The minimum term and maximum term defined by the propositional variations, are the core problems of expressions and applications stemmed from the propositional formula.

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讨论了命题公式的主析取范式、主合取范式中的极小项与极大项下标集合的性质，利用主范式的下标集合得到了命题公式蕴涵的几个充要条件。

With respect to the principal disjunctive normal form and the principal conjunctive normal form, we also approach the properties of the subscript sets derived from the minimum term and maximum term.

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