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- Firstly, we prove three equivalent conditions for a solvable n-Lie algebra. Subsequently, mimicking the Borel subalgebra theory of Lie algebras, we give the definition of a Borel n-subalgebra of an n-Lie algebra, and prove two propositions about it. 第三节，证明了可解n-李代数的三个等价条件，并仿照李代数理论中的Borel子代数的定义，给出了Borel n-子代数的定义及相关性质。
- 2) If g is an irresolvable Cartan solvable Lie algebra, then of with the Borel subalgebra of the nine typical simple Lie algebra is isomorphism. ( ii)若 g是一个不可分解的 Cartan可解李代数 ;则 g与 9种典型单李代数之一的 Borel子代数同构 .
- Borel subalgebra 波莱尔子代数
- exact Borel subalgebra 正合Borel子代数
- Overalgebras of Borel subalgebras in Kac-Moody algebras 非扭仿射Kac-Moody代数中Borel子代数的扩代数
- IS SUBALGEBRA GENERATED BY NILPOTENT ELEMENTS NILPOTENT_? 幂零元生成的子代数是幂零吗?
- Conclusion Every fuzzy subalgebra of a fuzzy P-semisimple BCI-alegbras is also a fuzzy P-semisimple BCI-algebras. 结论说明任一模糊P-半单BCI代数的模糊子代数，也是模糊P-半单BCI-代数。
- The concept of a Borel n-subalgebra,and two propositions related to it has been given,too. 给出了Borel n-李代数的概念及其性质。
- In this thesis, we mainly consider Cauchy-Stieltjes integral of a complex Borel measure on the unit circle. 在这篇文章中,我们主要考虑单位圆周上的复Borel测度的Cauchy-Stieltjes积分。
- In this paper, we study the subalgebra structure of the general linear Lie algebras over commutative rings. 摘要本文研究了含幺可换环上一般线性李代数的子代数结构。
- These functions are set-valued functions and have the similar properties with Borel measure u. 第二章中，我们给出了序列拓扑压的定义与性质。
- In the induction of Borel measure,we always discuss the relative between content and measure. 在正则测度生成的过程中,有关容度和测度的关系是经典测度论中的一个比较重要的命题。
- Also we proved that any proper subalgebra of a standardKac-Moody algebra g(A) is standard, where A1 is any principle submatrix of A (see Theorem 2.6). 证明了典范Kac-Moody代数g(A)的任一真子代数g(A_1)也是典范的，此处A_1是A的任一主子阵(定理2.;6)。
- It is proved that the Frattini subalgebra of a complete Lie algebra with abelian nilpotent radical is the zero subalgebra. 证明了特征零代数闭域上的具有交换幂零根基的完备Lie代数的Fratini子代数为零。
- In this paper we study the derivative of a set. function in respect to a given Borel measure and the Lebesgue-Stieltjes integral of the resulting derivative. 正>本文研究集函数关于一个测度的导函数,以及这个导函数的积分。
- 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. 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。
- A new method of generating a certain regular Borel measure from more primitive fuzzy valued set functions is provided by using fuzzy valued outer measure and fuzzy valued content. 利用模糊数值外测度和模糊数容度给出一种由简单模糊数值函数构造出正则模糊数测度的方法 ;
- Unaware of Borel's deed, Arthas then used the remaining energies of the Sunwell to reanimate the spirit of Kel'Thuzad in the form of a nightmarish lich. 没有察觉到的阿尔萨斯使用了太阳之井剩下的力量，将克尔苏加德的灵魂复生成为了可怕的巫妖。
- The basic properties of matrix subalgebra were investiaged, the matrix subalgebra was generated by a single matrix, all maximal ideals were classified, the necessary and sufficient conditions for the subalgebra to be semisimple algebra were given. 摘要研究了由一个矩阵生成的拒阵子代数的基本性质，给出了其极大理想的完全分类及这类子代数是半单代数的充要条件。
- Let A be a symmetrizable generalized Cartan matrix, g(A) thecorresponding Kac-Moody algebra, then a subalgebra h of g(A) is a split Cartan subalgebra if and only if there is a regular locally finite element x such that h=g 0(adx). 设A为一可对称化广义Cartan矩阵 ;g(A)为对应的Kac_Moody代数 ;则 g(A)的子代数h为可裂Cartan子代数的充分必要条件为存在正则局部有限元x ;使得h =g0 (adx) .
