matrix ring

In this paper the structure of Ant(Mn(R)),the automophism group of a local ring R on a matrix ring (Mn(R)),is researched,and that,the Ant(Mn(R)) is isomorphic to a product aggregate of PGL(R)XAut(R),is proved.

本文讨论了局部环Ｒ上ｎ阶全阵环Ｍ_ｎ（Ｒ）的自同构群Ａｕｔ（Ｍ_ｎ（Ｒ）的结构，给出了Ａｕｔ（Ｍ_ｎ（Ｒ）） 同构于ＰＧＬ（Ｒ）与Ａｕｔ（Ｒ）的一个半直积这一重要结果。

In this paper the structure of Aut(Mn(R)), the automophism group of a local ring R on a matrix ring (Mn(R)), is researched, and that, the Aut(Mn(R)) is isomorphic to a product aggregate of PGL(R) ×Aut(R),is proved.

本文讨论了局部环R上n阶全阵环Mn(R) 的自同构群Aut(Mn(R))的结构,给出了Aut(Mn(R)) 同构于PGL(R)与Aut(R)的一个半直积这一重要结果。

Moreover, the equivalance between regularity of a ring and a full matrix ring is proved with a new method.

当 R是一个有单位元的环时 ,本文引进并刻划了Mm× n( R)的正则性并由此重新证明了环 R与全矩阵环 Mn( R)正则的等价性 ,这种方法比原有的证明方法简

When \$R\$ is a ring with identity, the unit\|regularity of a ring \$R\$ is characterzed and it is proved that the unit\|regularity of \$R\$ is equivalent to that of the full matrix ring \$M\-n(R)\$.

当 R是一个含幺环时 ,描述了环 R的单位正则性以及与全矩阵环 Mn(R)的单位正则性的等价性 。

The method developed in this paper using the global matrix is an improved version of Nayfeh's matrix method.

本文作者对Nafeh的传递矩阵方法进行改进,所得到的全局矩阵方法具有较好的稳定性,其程序能有效地产生兰姆波的频散曲线。

Some Conditions For Subdirectly Irreducible Rings To Be Full Matrix Rings or Divison Rings

亚直不可约环成为全矩阵环、除环的条件(英文)

The Greneralized Moore-Penrose Inverse Of Matrices over Rings;

环上矩阵的广义Moore-Penrose逆

On Morphic Property of 3 × 3 Triangular Matrix Ring

三级三角矩阵环的morphic性

The Rank and Property of Matrices Over Hermite Ring

Hermite环上矩阵的秩及性质

We call a matrix the generalized cyclic matrix if it can be written the product of a nonsingular diagonal matrix and a cyclic matrix.

可表为非奇异对角矩阵和循环矩阵乘积的矩阵，我们称其为广义循环矩阵。

The resulted judgment matrix is a weighted sum of the original judgment matrix and the completely consistent judgment matrix.

调整后的判断矩阵等于原判断矩阵和完全一致性矩阵的加权和。

The approximation problems of any matrix in circle matrix are studied.

研究了任意矩阵在循环矩阵中的逼近问题。

Primes in the Doubly Stochastic Matrices and in the Doubly Stochastic Circulants;

双随机矩阵和双随机循环矩阵的素元研究

The Method for Evaluating Inverse Matrices of a Kind of Special Level-2 Circulant Matrices;

求一类特殊二重循环矩阵逆矩阵的方法

Inversion of permutation factor circulant matrices over Z_p

域Z_p上的置换因子循环矩阵的逆阵

The element siiffness matrix and the geometric stiffness matrix etc. are explicitly presented.

单元的刚度矩阵和几何刚度矩阵全部显式给出。

The Properties of Generalized Circulant Matrix and the Realization of Circulant Matrix in Mizar System;

广义循环矩阵的性质及循环矩阵在Mizar系统中的实现

The Impact of Correlation Matrix on Capacity of Circular Antenna Array MIMO System;

相关性矩阵应用于环形MIMO天线阵列容量的研究

Study of graph corresponding to product of two adjacency matrices to two circulant graphs

两个循环图的邻接矩阵的乘积矩阵对应图的研究

Study of Digraph Corresponding to Prodnct Matrix of Adjacency Matrix of Any Two Circulaut Digraph;

两个有向循环图的邻接矩阵的乘积矩阵对应有向图的研究

The Properties of Regular Tournment Matrices and Eigenvalue of Regular Circulant Tournament Matrices;

正则竞赛矩阵的性质和正则循环竞赛矩阵的特征值

The dynamic matrix control algorithm applied to a long time delay unit

动态矩阵算法在大时滞环节中的应用

THE MATRIX SOLUTION FOR THE EQUILIBRIUM PROBLEM OF CIRCULAR BAR (OR RING)

平面圆弧杆(或圆环)平衡问题的矩阵解