然后引入导子理想、可解导子理想以及导子单代数的概念。
Then we introduce the conceptions of derivation-ideals, solvable derivation-ideals and simple derivation-algebras.
主要考虑非线性波方程组的一些简单对称及其构成的李代数，并利用所得对称给出该方程组的一些单参数变换群。
In this paper, the symmetries and Lie algebra of a coupled nonlinear wave equation were discussed. One-parameter transformation groups of this equation were obtained by using the symmetries.
结果表明代数动力学方法对于具有非半单李代数结构的线性动力系统仍然适用。
It has also been shown that the algebraic dynamics might be generalized from the linear dynamic system with a semi-simple Lie algebra to that with a general Lie algebra.
基本思想是首先利用圆盘状单裂纹之解以及局部坐标展开法将裂纹群问题化为求解一组线代数方程。
The basic idea is to use the single crack solution and the expansions of the local coordinates to reduce the complicated problem into a set of linear algebraic equations.
研究了极大代数上线性系统的单输入单输出的最小实现问题。
We study the minimal realization of a low dimension SISO linear system in the Max - algebra.
最后求出多项式角动量代数的单玻色实现及其在有限维多项式函数空间的微分实现。
At last the deformed algebra's single boson operator realization and one differential realization under finite_dimensional spaces are deduced.
写作者必须把清晰的思考当作一项自觉的行动，就像做所有讲求逻辑的事比如列购物单或做代数题一样。
Thinking clearly is a conscious act that writers must force on themselves, as if they were working on any other project that requires logic: making a shopping list or doing an algebra problem.
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.
多量子算符代数理论可以将幺正变换分解为一系列有限的单量子门和对角双量子门的组合。
As multiple-quantum operator algebra theory mentioned, any unitary transformation can be decomposed into a sequence of a limited number of one-qubit quantum gates and two-qubit diagonal gates.
本文讨论了一类高阶代数微分方程的单值亚纯解和有限多分支解的增长性，推广了N。
The paper obtains the growth of single-valued meromorphic solutions and finite branch solutions of differential equations in the complex plane and generalizes the results of n.
本文考虑关联BCK-代数的半单性，得到这类代数为半单的若干等价条件。
In this paper we consider the semisimplicity of implicative BCK-algebras and obtain several equivalent conditions which an implicative BCK-algebra is semisimple.
从而把姜豪的有限单BCK-代数结构定理完整地推广到无限的情形。
This extends totally the structure theorem of finite simple BCK algebras by Jiang Hao to the case of infinite simple BCK-algebras.
在适当地选取了半单李代数的根系之后，就可算出初等表示权的标积。
When the set of roots for a semi-simple Lie algebra have been selected appropriately, the scalar product of the weights of the elementary representation can be calculated.
讨论了半单广义顶点代数（相应地半单广义顶点算子代数）的若干性质，例如：这些代数的分解；
In this paper, some properties of semisimple generalized vertex algebras (resp. semisimple generalized vertex operator algebras), for example the decompositions of these algebras;
该文讨论了网络节点上包的代数运算与路由协议的结合方式，提出了IP编码网络中单、组播通信的实现方法。
This paper presents algebraic models of the packets and routing protocols and designs of communication models for both unicast and multicast communications in IP coding networks.
该文讨论了网络节点上包的代数运算与路由协议的结合方式，提出了IP编码网络中单、组播通信的实现方法。
This paper presents algebraic models of the packets and routing protocols and designs of communication models for both unicast and multicast communications in IP coding networks.
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