本文研究了一类非结合代数的自同构。
In this paper, we study the automorphism of a type of non-associative algebra.
最后确定了W及其泛中心扩张的自同构群的结构。
Finally, the structures of the automorphism groups of W and its universal central extension are characterized.
给出了一类新的试验多项式，可识别多项式代数的非线性自同构。
We can distinguish nonlinear automorphism of polynomials algebra by using the test polynomials.
一个图称为点传递图，如果它的全自同构群在它的顶点集合上作用传递。
Firstly, we obtain some equivalent characterization for Cayley graphs of completely simple semigroup which is vertex-transitive.
具体地构造出两个有限循环群的自由积的外自同构群，并给出了其阶的计算公式。
The outer automorphism group of the free product of two cyclic groups is constructed, and two exact formulas for calculating its order are established.
第二章，主要研究有限反射群的最长元以及和最长元相对应的有限反射群的自同构。
In Chapter 2, we investigate the longest elements and the corresponding special automorphism of finite reflection groups.
在分配伪格上引入对合反自同构和矩阵M-P逆的概念，得到矩阵M-P逆的若干性质。
We introduce the conception of involutorial anti automorphism over distributive pseudolattices, define and get some properties of M-P inverse of matrix.
确定一个群的自同构群和内自同构群的结构往往十分困难，还没有一般性的理论及方法。
It is often very difficult to identify the structure of the automorphism group and the inner automorphism group of a group, and there is no general theory and method.
用大整数运算库实现两种基于环面自同构的算法，并将他们与传统的RSA算法作比较。
Have realized two kinds of algorithms with the large integer operational library in VC, and compare them with traditional RSA algorithm.
在这个假定下，我们进一步根据商有向图及核K为C（G，S）的自同构群刻划出了一系列特性。
Under this assumption, the present paper further gives a characterization for the automorphism group of C( G, S) in terms of the quotient di-graph and the kernel K.
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.
给出了无限秩仿射李代数的实形和某种类型的紧效实形的定义，并证明了这种紧致实形在自同构下的唯一性。
In this paper, we define real form of infinite rank affine Lie Algebra and we also give its some types of compact real form which is proved unique under automorphism.
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.
首先给出了典型李代数自同构的一些性质，接着用矩阵的形式具体给出典型李代数自同构共轭的充要条件，并计算了任意阶自同构的不动点集。
In this paper, some properties of automorphisms of classical Lie algebras was given first and then a classification of conjugacy automorphisms using only the matrix theory was presented.
首先给出了典型李代数自同构的一些性质，接着用矩阵的形式具体给出典型李代数自同构共轭的充要条件，并计算了任意阶自同构的不动点集。
In this paper, some properties of automorphisms of classical Lie algebras was given first and then a classification of conjugacy automorphisms using only the matrix theory was presented.
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