代数群的连通正规闭子群与李代数的理想之间有很特殊的关系。
There are particular relations between the closed connected normal subgroups of algebraic groups and the ideals of Lie Algebras.
代数群的连通正规闭子群与李代数的理想之间有很特殊的关系。
Some algebraic groups are discussed by looking into the lattice of their closed connected normal subgroups.
从那时开始，人们发现量子群在很多领域都有着深刻的应用，范围遍及理论物理、辛几何、扭结理论与约化代数群的模表示理论等。
Since then they have found numerous and deep applications in areas ranging from theoretical physics, symplectic geometry, knot theory, and modular representations of reductive algebraic groups.
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.
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.
本文通过对合交换半群概念的引入，对MV-代数建立了几组等价公理系，对原有的公理系进行了较好的简化。
In this paper, we introduce the notion of involution commutative semi-group, and give some equivalence axioms of MV - algebras.
基于旋转群代数，以航天器姿态控制研究为背景，提出了四元数的核心矩阵的概念。
A concept of kernel matrix of quaternion is proposed, which is based on rotation group algebra and with spacecraft attitude control as its background.
通过抽象代数知识，求出所有正多面体的旋转群。
Using the knowledge of abstract algebra, the rotation groups of the regular polyhedron are determined.
本文试图用群的思想考察初等代数中的部分内容。
In this paper, we attempt to inspect partially the content of school algebra with the idea of group.
基于LEM还得到了处理对应于置换群cg系列问题的黑克代数张量积的方法。
A procedure for dealing with tensor products of Hecke algebras, which corresponds to the CG series of permutation groups, are also formulated based on the LEM.
相对双曲群，内蕴几何，代数性质和算术问题。
Relatively Hyperbolic Groups, Intrinsic Geometry, Algebraic Properties, and Algorithmic Problems.
运用基础代数中有关自同构、左平移、正规子群等理论，对群G的全形进行了简单的探讨，证明了几个有关的结论。
By using the theories in basic algebra about automorphism, left translation and normal subgroup, in the holomorph of G is discussed briefly, and several related conclusions are obtained.
本文给出了建立在含幺半群基础上的范畴语法的代数结构 ，定义了范畴方程和它的解并对范畴方程的解作了分类 ：相容性的相关性。
In this article, we showed the algebraic structure of syntactic categories based on monoid and defined categorial equation whose solutions are described by consistency and correlation .
半群的研究在代数学的理论研究中占有很重要的地位。 其中格林关系在半群理论的研究中有着重要的意义。
The research of semigroup plays an important role in the research of the theory of algebra, and the Green's equivalences are especially significant in the study of semigroups.
针对代数法和卡诺图法难以化简规模很大的逻辑函数问题，提出使用蚁群算法处理大规模逻辑函数化简。
As algebra way and map way can not simplify the given large scale logical function, a new way using Ant Colony Algorithm to simplify large scale logical function is put forward.
讨论了李超代数上的左超对称结构与其上的1维上同调群的关系。
It discusses the relationship between left-supersymmetric structures on Lie superalgebra and its 1 th cohomology group.
给出了布尔群代数半群中的幂等元、极大子群和正则元的结构以及幂等元和正则元的个数。
The structure of the idempotent elements, regular elements and maximal subgroups and the number of the idempotent elements and regular elements in Boolean group algebra are given.
首先根据有限交换群上对称双特征标的概念，给出着色李超代数的定义，并介绍关于着色李超代数的一些基本概念与基础知识。
First, we give the definition of Lie color superalgebras using the symmetric bicharacter on a finite commutative group, and also we introduce some fundamental notions about Lie color superalgebras.
为了解决正交拉丁方完备组问题，利用代数方法讨论了拉丁方与正则群的关系。
In order to solve the problem of complete system of orthogonal Latin squares, relation between Latin square and permutation groups is discussed by using method of algebra.
半群平移壳理论是半群代数理论的一个重要部分，在半群的理想扩张理论中占有重要地位。
The theory of translational hull of semigroups is an important branch of the algebra theory and plays a basic role in the theory of ideal extensions of semigroups.
十九世纪的代数学知识体系庞大，它包含置换群、矩阵、代数数论、代数几何等多个分支。
In the nineteenth century, the system of algebraic knowledge is enormous, which contains the permutation group, matrix, algebraic number theory, algebraic geometry and other branches.
利用代数思想及方法证明直觉模糊群的诱导商集也是直觉模糊群。
By using algebraic methods, it was proved that the induced quotient set determined by an intuitionistic fussy group was still an intuitionistic fussy group.
本文研究了满足条件N的局部群系集合的代数性质，同时对于这类群类，给出了极小非-群的结构。
In this paper we investigate algebraic properties of the set of local formations which satisfy n, and for such formation we give the structure of minimal non group.
理论已经逐步形成描述在有限群，标准化的形式和顶点算符代数之间的关系。
The theory has evolved to describe the relationship between finite groups, modular forms and vertex operator algebras.
因为一个Z2-阶化群可以对应一个李超代数，所以对Z2-阶化群的性质进行了讨论。并对一些特殊类型的群确定了它们的Z2-阶化结构。
Since a Lie superalgebra can be associa ted with a Z2-graded group, properties of Z2-groups are discussed and Z2-graded structures of some special class es of groups are determined.
进而，从对称的观点说明婚姻形式从简单到复杂的演化过程，代数上对应于对称群阶数的增加，几何上则对应于对称性的加强。
Furthermore, it illustrates when the form of marriage changes from simplicity to complexity, the group has better symmetry on geometry, the order of the group is h...
进而，从对称的观点说明婚姻形式从简单到复杂的演化过程，代数上对应于对称群阶数的增加，几何上则对应于对称性的加强。
Furthermore, it illustrates when the form of marriage changes from simplicity to complexity, the group has better symmetry on geometry, the order of the group is h...
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