我们引入幂零拟群的直觉模糊理想的概念。
We introduce the notion of an intuitionistic fuzzy ideal of a unipotent quasigroup.
黎曼流形上的幂零结构指什么？
研究的是辛三代数的幂零性。
The nilpotency about the symplectic ternary algebra is discussed in this paper.
此外，本文还讨论了幂零指数的若干性质。
Moreover, we shall discuss some properties of nilpotent exponents.
研究了一类原点为三次幂零奇点的三次微分系统。
A class of cubic differential system is studied in this paper, in which origin is nilpotent singular point.
本文从矩阵的不同角度讨论了幂零矩阵的相关性质。
This article discussed the nilpotent matrix related nature from the matrix different angle.
引入幂零拟群的直觉模糊理想的概念，得到一些结论。
In this paper, we introduce the notion of an intuitionistic fuzzy ideal of a unipotent quasigroups, and then some related results are investigated.
本文先给出幂零矩阵的定义，然后讨论了它的若干性质。
This paper first presents the definition of nilpotent matrix and then moves on to discuss certain properties of them.
对于有限群的幂零性的研究已受到很多群论专家的关注。
One of the important problems in the theory of finite groups is to study the effect of nilpotency on the finite groups.
研究了每一非交换子群皆为次正规的有限非幂零群的结构。
In this paper, the finite non-nilpotent group with every non-abelian subgroup being subnormal is investigated.
利用覆盖-远离子群的概念研究了群的超可解性和幂零性。
The supersolvablity and nilpotency of the finite group G are characterized using the concept of cover-avoiding subgroups.
通过对幂零矩阵的秩的研究，给出了一般方阵幂的秩的求法。
By researching nilpotent matrix rank, a solution is obtained for general matrix power rank.
本文定义了有核半群的局部幂零根，并证明了与环相近的一些性质。
In this paper, we define the local nilpotent radical of a semigroup having kernel and prove some properties which is similar to rings.
给出了所有准素子群的正规化子有素数幂指数的有限群的幂零长的界。
The bounds of nilpotent lengths of finite groups with normalizers of primary subgroups having prime power indices are obtained.
我们在研究矩阵及学习有关数学知识时，经常要讨论幂零矩阵的性质。
Its properties are frequently used and discussed in the study of matrix and related mathematical knowledge.
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。
Burnside asserts, if any sylow p-subgroup P of a finite G lies in the center of its normalizer, then G isp-nilpotent.
主要对定义在一般数域上的3 -幂零矩阵的相似等价类的个数问题进行探讨。
In this paper, we mainly discuss the enumeration problem of the equivalence class of 3-nilpotent matrix defined in normal number fields.
将代数学中的幂零元概念作适当的解析学上的推广，可以绘出一个很满意回答。
A very satisfactory answer can be given in terms of the appropriate analytic generalization of the algebraic concept of nilpotence.
幂零矩阵性质及应用摘要：幂零矩阵是一类特殊的矩阵，在矩阵理论中有重要的作用。
The nilpotent matrix nature and applies the abstract: The nilpotent matrix is a kind of special matrix, has the vital role in the matrix theory.
幂零矩阵性质及应用摘要：幂零矩阵是一类特殊的矩阵，在矩阵理论中有重要的作用。
The Nature And Application Of Nilpotent Matrix Summary: Nilpotent matrix is a special type of matrix that has an important place in matrix theory.
给出了马尔策夫代数的一个标准扩张，并研究了马尔策夫代数及其扩张间的可解和幂零关系。
The main purpose of this paper is to give a standard extension of Malcev algebras, and investigate the relationship on solvability and nilpotency between a Malcev algebra and its extension algebra.
第二章通过举例介绍了两种证明符号模式矩阵是谱任意的方法——构造法和幂零-雅可比方法。
In the chapter 2, the author introduce two methods that method a sign pattern matrix is spectrally arbitrary, the structure method and Nilpotent-Jacobi method with examples.
在给出它的若干特征之后，指出这一类半群也是群的矩阵的幂零元-理想扩张，但反之未必成立。
Also, after some prelimenaries, We have Obtained that the semigroup is further nil-extension of the matrix of groups, but the converse is not all true.
交换环上矩阵代数的可解子代数和幂零子代数的自同构分解问题是一类重要的具有理论意义的研究课题。
It is theoretically important to solve the problems of decomposition of automorphisms of solvable subalgebra and nilpotent subalgebra of matrix algebra over commutative rings.
用一种简单的方法重新证明了以下定理：定理：假设A是可解的交错代数，则A是局部幂零的交错代数。
We reprove the following theorem with a simpler means: theorem: let a is the solvable algebra, then a is the local nilpotent algebra.
研究了线性无关的向量组在同一级幂零指数上的线性关系，得到幂零指数在线性空间的基向量上的分布规律。
In this paper, the author researches the linear relation defined by a same nilpotent index in the independent vectors, obtains the distribution rule of the nilpotent indices on an arbitrary basis.
分析了谱任意的相关结论并给出了两类符号模式，然后运用幂零雅可比方法证明了两类符号模式矩阵的谱任意性。
I analyse some conclusions of spectrum arbitrary and give two sign patterns. then I prove two classes sign pattern matrix that are spectrally arbitrary using Nilpotent-Jacobi method.
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.
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.
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