本文用生成元和定义关系的方法，对每个可解可补李代数给出一个定义矩阵。
A defining matrix is given for the solvable and complemental Lie algebras with a generator relation method.
在第二部分第一篇论文中，我们系统研究了二维非交换李代数及其全形的可解性、完备性与非半单性等性质。
In the first paper of the second part , it studies two dimensional noncommutative Lie algebra and its solvability, completeness and nonsemisimplicity and so on .
定理3 可解李三超系的任意包络李超代数是可解的，而且若李三超系有可解的包络李超代数，则它也是可解的。
Theorem 3 Any enveloping Lie superalgebra of a solvable Lie triple supersystem is solvable, and if a Lie triple supersystem has some solvable enveloping Lie superalgebra, it is solvable.
构造了一类以5维最简线状3 -李代数为极大次幂零理想的可解3 -李代数，并且对构造的3 -李代数进行了分类。
A class of solvable 3-lie algebras with a 5-dimensional maximal hypo-nilpotent ideal, which is a 5-dimensional simplest filiform 3-lie algebra, is constructed.
根据三维可解rds型李代数的分类结果，构造了一类新的四维rds型李代数。
According to the classification of the 3-dimensional solvable RDS type Lie algebra, we constructed a new class of 4-dimensional RDS type Lie algebra.
根据三维可解rds型李代数的分类结果，构造了一类新的四维rds型李代数。
According to the classification of the 3-dimensional solvable RDS type Lie algebra, we constructed a new class of 4-dimensional RDS type Lie algebra.
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