基本释义:

环面群

网络释义

1)torus group,环面群

2)maximal torus subgroup,极大环面子群

3)cyclic(dihedral) symmetry,循环群(二面体群)对称

4)group rings,群环

5)group ring,群环

6)loop group,环群

用法和例句

By the tools of group rings and character sums,it was shown that there didn t exist any type of Generalized perfect binary arrays of order 2×2×p~n for any n and any odd prime p≠1(mod 8).

利用群环、特征和等代数方法,证明了对于任意的n及奇素数p≠1(mod 8),不存在任何类型的体积为2×2×pn的广义最佳二进阵列,并给出了体积为2×2×2n的广义最佳二进阵列存在的充要条件。

This paper proves a number of expression results of the radical of group rings and the nilpotency of Jacobson radical.

本文主要给出了几个群环中根的表示方法及 Jacobson 根的幂零性。

The algebraic properties and structure of group rings ZnG are discussed,and the detailed characterizations of the prime spectrum and zero-pisors of ZnG are given.

讨论了群环ZnG的代数性质及其结构,对群环ZnG的素谱和零因子给出了较为具体的刻画。

Artinian skew semigroup ring;

Artinian斜半群环

A public-key cryptosystem based on the group rings

基于群环上的公钥密码体制

In this paper,we mainly discuss the properties of the left G-morphic group ring RG.

本文讨论了左G-morphic群环RG的性质,主要证明了以下结果:设R是一个环,G是一个局部有限群,如果群环RG是左G-morphic环,那么R是左G-morphic环;如果对G的每个有限子群H,群环RH是左G-morphic环,那么群环RG是左G-morphic环。

In this paper, a sufficient and necessary condition such that the Ricci form of continuous loop groups is closed is given.

本文给出了连续环群的Ricci形式是闭的充分必要条件。

The Maximal Z-Order of the Integral Group Rings of Finite Cyclic Groups;

P~r阶循环群的整群环的极大Z-序

On Class Sum Correspondence of Group Rings of a Finite Group and Its Factor Group

关于有限群环与它的因子群环之间的类和对应

A Research on Parallel Ant Algorithm in Cluster of PCs Environment;

PC机群环境下蚁群算法的并行化研究

On the Structure of the Augmentation Ideals and Quotient Groups for Integral Group Ring;

整群环之增广理想及其增广商群结构的研究

Automorphisms of Finite Groups Inducing Inner Autormorphisms of Integral Group Rings

诱导整群环上内自同构的有限群的自同构

On Ascending Chain Condition on Principal Ideals of Semigroup Rings When Semigroups Are GCD-Monoids

GCD-摹群条件下的半群环主理想升链条件

Metacyclic Groups with a Cyclic Subgroup of Index 2

具有指数为2的循环子群的亚循环群

On the Autmorphism Groups of Metacyclic p-group with a Cyclic Maximal Subgroup

具有循环极大子群的亚循环p-群的自同构群

We' re shut in ( ie surrounded ) by the hills here.

我们处在群山环抱之中.

The mosquitoes swarmed about us.

蚊子成群地环绕着我们。

The hills sweep round the hidden valley.

群山连绵，环抱幽谷。

Mountains rimmed the valley.

群山环绕着这个山谷.

Non-metacyclic p-groups All of Whose Maximal Subgroups are Minimal Non-abelian

极大子群都是极小非交换群的非亚循环p-群

OVERGROUPS OF THE DIAGONAL SUBGROUP IN THE UPPER TRIANGULAR SUBGROUP OVER COMMUTATIVE RINGS

可换环上对角子群在上三角子群中的扩群

Generalized Rings and Applications to Multiplicative Semigroups and Adjoint Semigroups

广义环及其对环的乘法半群与圈乘半群的应用

The lakes were surrounded By a panoply of mountains.

群湖为壮丽的群山所环抱。

Some Necessary and Sufficient Conditions of Abelian Groups and Cyclic Groups

交换群和循环群的若干充分必要条件

Automorphisms of the unipotent subgroup of the Chevalley group over the integral ring;

整数环上Chevalley群的幺幂子群的自同构