1) nilpotent
[英][nil'pəutənt] [美][nɪl'potənt]
幂零性
1.
Burnside asserts,if any sylow p-subgroup P of a finite G lies in the center of its normalizer,then G is p-nilpotent.
群论研究的一个重要问题是对有限群的p—幂零性对有限群结构的影响。
2.
Because the solution and nilpotent are very important to every algebra and have some important effect,we give the definition of idea and imitate Lie algebra to study q-Lie algebra\'s solution and nilpotent.
有了理想,我们就可以仿照李代数去研究q-李代数的可解性与幂零性。
2) Nilpotence
幂零性
1.
Some Criteria for Nilpotence and p-Nilpotence of Finite Groups;
关于有限群的幂零性与p-幂零性的一些判别(英文)
2.
So we can determinate the nilpotence of n-Lie algebras by the properties of derivation.
借助于n-李代数对导子的根子空间直和分解以及它的正则表示的研究,得出具有一个特征根均为正实数的导子的n-李代数是幂零的,从而用导子刻画了n-李代数的幂零性。
3.
In the first part of this paper, we mainly concerned about the nilpotence of Lie triple algebras.
本篇论文主要研究了李三代数的幂零性，并给出了马力茨夫的一类扩张，考察了马力茨夫代数本身与其扩张之间幂零性和可解性的关系。
3) Nilpotency
['nil,pəutənsi]
幂零性
1.
One of the important problems in the theory of finite groups is to study the effect of nilpotency on the finite groups.
对于有限群的幂零性的研究已受到很多群论专家的关注。
4) p-nilpotency
p-幂零性
1.
In this paper,using the condition that some maximal subgroups or 2-maximal subgroups are semi CAP-subgroups of G,we get some criterions for solvability,and p-nilpotency of G.
利用G的Sylow子群的极大子群,Sylow子群的2-极大子群的半覆盖—避开性得到了群的可解性,p-幂零性的判别,同时得到了群系的一些结论。
5) approximation nilpotency
近似幂零性
1.
Paper has discussed approximation nilpoteney of aletrnate algebra A The discussion gave deep understanding of relationship between nilpoteney and availability of alternate algebra A In addition to it, this paper puts forward radical concept of approximation nilpotency of alternate algebra A This concept and its properties will provide new knowlege for the structure of alternate algebra
继交错代数Ａ的近似幂零性讨论之后，现提出交错代数Ａ的近似幂零根的概念。
6) (locally finite)-by-nilpotent
几乎幂零性
补充资料：幂零Lie代数
幂零Lie代数
Lie algebra, nilpotent
幂零lie代数【liealgebI’a.浦训t即t;瓜朋~。代Hm明盯e6Pal 域k上满足下列等价条件之一的代数(司罗bla)g: l)有g的理想的有限降链{9.}。“、。，使得g。=g，g。={o}，且对o簇i
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参考词条