On Existence of Weighted Generalized Moore-Penrose Inverse of Matrix over Ring 环上矩阵加权Moore-Penrose逆存在的条件
On Morphic Property of 3 × 3 Triangular Matrix Ring 三级三角矩阵环的morphic性
A centring device is arranged at the bottom of the matrix transfer ring. 胎体传递环底部安装有对中装置。
The representations of matrix of endomorphism ring of finitely generated Abel groups 具有有限生成元的阿贝尔群的自同态环的矩阵表示
Ideals of n × n matrix ring M_n ( R) over ring R 环R上的矩阵环Mn(R)的理想
The Index of the Center of a Matrix Ring 矩阵环中心的指标
A note on Automorphisms and ANTI-AUTOMORPHISMS of the total matrix ring 关于全矩阵环的自同构与反自同构
Central index of matrix ring on arbitrary field 任意域上全阵环的中心指数
The subrings satisfying ZC_n ( ZI_n) of the m × m upper triangular matrix ring T_m ( R) over a reduced ring R are studied. 研究了reduced环R上的m×m阶上三角矩阵环Tm(R)的满足ZCn(ZIn)的子环。
I-Ring and It's Matrix Ring I-环及其矩阵环
The main work of this thesis contains three parts: the invertibility of finite automata on matrix ring, the structure of feedforward inverse finite automata and weakly invertible finite automata, and the decomposition of weakly invertible finite automata. 本论文的主要工作包括三个部分:矩阵环上有限自动机的可逆性理论,前馈逆有限自动机和弱可逆有限自动机的结构以及弱可逆有限自动机的分解问题。
The Category of Modules over a Triangular Matrix Ring of Order n and Its Homological Characterizations n级三角矩阵环上的模范畴和同调特征
The relation between the unities in Γ-ring M and in its matrix ring Mm, n is studied. 此外还探讨了Γ-环M与其矩阵环Mm,n单位元间的关系。
For any semisimple ring R, every matrix ring M_n ( R ∝ R) is morphic. 对任意半单环R,每个矩阵环Mn(R∝R)是左morphic的。
In this paper, the necessary and sufficient condition that nth-over full matrix ring Mn ( R) of commutative ring R constitutes a ZI-ring is provided. 本文给出了交换酉环R的n阶全阵环Mn(R)构成ZI&环的充分必要条件。
In this paper we put a new concept: the index of center of matrix ring, and discuss some relative problems, get several interested results. 定义了矩阵环中心的指标的新概念并且讨论了某些相关问题,得到了几个有趣的结果。
Some properties of matrix on commutative ring 交换环上矩阵的一些性质
The Euler function is generalized over the full matrix ring M ( Ok, n), where Ok is the integral number ring of the algebraic number field K. 主要把欧拉函数推广到全矩阵环M(Ok,n)上,其中Ok为代数数域K的整数环。
The main results are Theorem 1 Let R be a ring with 1, them M n ( R), the complete matrix ring of R, is generated by two elements as ring and R module. 证明了下面的结论:1.若R是有单位元1的环,则Mn(R)作为环与R-模可由两个元生成;
Subrings satisfying ZC_n ( ZI_n) of upper triangular matrix ring 上三角矩阵环满足ZCn(ZIn)的子环
The corresponding relation of bi-ideal of ring R and it's matrix ring Mn ( R) are discussed in this paper. 讨论了环R与其矩阵环Mn(R)的双理想的对应关系;
A ring R is weakly symmetric if and only if for any n, the n × n upper triangular matrix ring ( T_n ( R)) is weakly symmetric; 环R是弱对称环当且仅当R上的n×n上三角矩阵环Tn(R)是弱对称环;
Ideal Lattices of Subring of Complete Matrix Ring over Strongly Group Graded Ring 强分次环上全矩阵环的一类子环的理想格
The derived rings and weak derived rings on the total matrix ring 关于矩阵环的派生环
Matrix ring is a typical noncommutative ring and it has fine structure and lots of achievement. 矩阵环是一类典型的非交换环,并且具有较好的代数结构和丰富的研究结果。
On g-inverses of a matrix Mover ring 环上加边矩阵M的g-逆
On Necessary and Sufficient Condition of Invertible Matrix in Integral Ring 整数环上矩阵可逆的充要条件
Discussion of Free Running Model on the Ring and Matrix Ring 关于环上自由模与矩阵环的讨论
Then, by choosing an appropriate homomorphism from skew-polynomial ring to the matrix ring, we can get an identity. 作为该恒等式的一个应用,我们适当选取斜多项式环到矩阵环的同态,得到一个恒等式。