英语释义

1. an isomorphism of a set (such as a group) with itself

片语

elementary automorphism初等自同构

identical automorphism[数]

automorphism graph自同构群

holomorphic automorphism全纯自同构群

differential automorphism[数]

analytic automorphism[数]

Nakyama automorphismNakayama自同构

local automorphism保持乘法的局部自同构

ring automorphism环自同构

英汉例句

• In this note, we establish a mild condition on A such that every Jordan automorphism of A is either an isomorphism or an anti-isomorphism.

  如果代数A满足我们建立的一个温和的条件，则必为同构或者是反同构。

• Finally, the structures of the automorphism groups of W and its universal central extension are characterized.

  最后确定了W及其泛中心扩张的自同构群的结构。

• In Chapter 2, we investigate the longest elements and the corresponding special automorphism of finite reflection groups.

  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。

• 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.

  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。

• 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.

  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。

• We can distinguish nonlinear automorphism of polynomials algebra by using the test polynomials.

  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。

• In this paper, we study the automorphism of a type of non-associative algebra.

  本文研究了一类非结合代数的自同构。

• An automorphism of a map is an isomorphism from the map to itself.

  一个地图的自同构就是到它本身的一个同构。

• We introduce the conception of involutorial anti automorphism over distributive pseudolattices, define and get some properties of M-P inverse of matrix.

  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。

• The outer automorphism group of the free product of two cyclic groups is constructed, and two exact formulas for calculating its order are established.

  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。

• It is proved that a simple graph G is automorphism line graph if and only if the graph G is 2-regular graph.

  首次给出自构线图的定义，并证明：简单图G为自构线图的充要条件是图G为2-正则简单图。