查询词典 nilpotent

In this paper we give the concept ob approximation nilpotent alternate algebra,and sduty the relation ot nipotency and solvability to the approximation nilpotency .

在这篇文章中给出了交错代数的近似幂零性的概念。并且，讨论了交错代数的幂零性、可解性与近似幂零性之间的关系。

As two important tools, the weight space decomposition of modules of a nilpotent Lie algebra (Section 1) and irreducible finite dimensional representations of solvable Lie superalgebras (Section 2.3) are presented in detail.

讨论过程中，作为两个重要的工具，对幂零李代数其模的权空间分解(第1节)，以及可解李超代数的有限维不可约表示(第2.3节)也作了详细的介绍。

In [10,13], the authors gave some conditions on which a group is nilpotent by c- normality of subgroups.

文献[10，13]利用子群的c-正规性给出了一个群是幂零一些条件。

The following statements are proved:. A is equivalent to a diagonal matrix if and only if A is similar to a diagonal matrix.. If R is an APT ring, then A can be uniquely diagonalized as diag{e1,..., en} and ei divides ei+1.. R is an APT ring if and only if R/I is an APT ring, where I is a nilpotent ideal of R.

本文证明了以下结果：A相抵于一对角阵当且仅当A相似于一对角阵；若R是一APT环，则A在相似变换之下可唯一地化为对角形diag{e1，…，en｝，这里ei整除ei+1；R是APT环当且仅当R/I是APT环，这里I是环R的一幂零理想。

This paper first presents the definition of nilpotent matrix and then moves on to discuss certain properties of them.

本文先给出幂零矩阵的定义，然后讨论了它的若干性质。

Set N be a maximal nilpotent subalgebra of D_n. In this paper, we determine all automorphisms of N.

在本文中我们将计算出这个极大幂零子代数N的所有自同构。

In this paper, we shall study the nilpotent length of finite groups whose Sylow normalizer indices are of prime powers.

在这篇文章中，所有的群均为有限群，采用的概念和符一号主要取自文献和l 21 我们在芍1中将给出本文需要的基本概念和基本结果。

The present paper, from the point of view of the relationship between substructure and quotient structure, mainly characterizes structures of abelian and nilpotent table algebras and gains some meaningful results.

本论文从表代数的子结构和商结构的关系出发，对abel表代数和幂零表代数的结构进行了深入的探讨，并且得到一些有意义的结果。

In this dissertation we use adjointoperator method to compute normal forms of order 2,order 3 and order 4 for nonlineardynamical system with nilpotent linear part and Z2—asymmetry.

2当研究平均系统的非零解的高余维退化分岔时，需要利用不具有Z2—对称性的非线性动力系统的高阶规范形。

The reader will need to know some basic finite group theory: the Sylow theorems and how to use them and some elementary properties of permutation groups and solvable and nilpotent groups.

读这本书之前，读者需要一些有限群论的基本知识，如Sylow定理及其应用，置换群，可解群和幂零群的基本性质等等。

The witness also told the jury at the Royal Courts of Justice in London that he saw a paparazzo fighting with a member of the public who was trying to stop him taking pictures in the minutes before the emergency services arrived.

他还告诉在伦敦皇家法庭的陪审团，在急救服务到来之前，他当时看见一个狗仔队正和一群阻止他拍照的人打架。

The entire N／C program on a tape is made up of an accumulation of these successive data blocks.

纸带上的整个数控程序由这些连续数据单元连接而成。