上秩

刻划了Hn上秩可加线性保持。

The bijective linear preservers of rank-additivity on Hn are characterized .

证明了完备、定向曲面的基本群在SU（2）中的表示空间可等同于该曲面上秩为2且具有平凡行列式丛的全纯向量丛的模空间.并且它们具有射影结构。

The representation space of the fundamental group of a closed , oriented Riemannian surface is identified with the moduli space of the holomorphic bundles of rank 2 with trivial determinant bundles over the surface and these spaces are proved to carry a projective structure .

Hermitian矩阵空间上保秩一的可加满射

Additive rank-one preserving surjections on Hermitian matrix spaces

利用推广的邻格方法，对Q（17）~（1/2）上的秩≤4的所有正定幺模格进行了分类，给出了代表格。

Using the generalized adjacent lattice method , all the positive unimodular lattices of rank ≤ 4 over Q ( 17 ) ~ ( 1 / 2 ) are classified , their representative forms are also given .

我们证明了支撑在2×3×N上的秩小于等于N的PPT态一定都是可分态，并且具有一个标准型。

A canonical form for PPT states with rank N and a sufficient condition for separability on 2 × 3 × N are investigated , we obtain that all quantum states with positive partial transposes and rank smaller than N are separable .

该文对基于纠错码构造的Xin-mei数字签名方案的修正方案进行改进，基于GF（qN）上最大秩距离码提出一新的数字签名方案；

By modifying the modified scheme of Xin-mei digital signature scheme based on error-correcting codes , a new digital signature scheme based on maximum rank distance codes over GF ( q N ) is presented in this paper .

p&除环上矩阵秩的恒等式

Identities on the Rank of Matrices over p-Division Rings

交错阵空间上保秩等价的线性算子

Linear Operators Preserving Rank Equivalence on Alternate Matrix Spaces

如在CSWN上用秩距码来实现安全通信。

For example , utilize the rank distance code to achieve the secure communication .

交换H~-代数上有限秩乘子的性质

Property of multipliers with a finite dimentional range on commutative h ~ - algebra

[1]中给出了左向量空间的线性映射的某些子空间的维数恒等式，并讨论了它在体上矩阵秩的理论上的应用。

Paper [ 1 ] gave the dimension identity formula of linear map subspace of left vector space and discussed the theory application of matrix rank of skew field .

直无限Exchange环上的稳定秩条件

Stable range conditions over directly infinite Exchange rings

nest代数上的保秩线性映射

Rank-preserving Linear Maps on Nest Algebras

Hermite环上矩阵的秩及性质

The Rank and Property of Matrices Over Hermite Ring

证明了B（X）到B（Y）上保一秩算于点谱的反乘法映射具有形式（T）

It is proved that an anti-multiplicative map from B ( X ) onto B ( Y ) that preserves the point spectrum of rank one operators is of the form .

分析层叠滤波器和秩排序滤波器之间的关系，在正布尔函数基础上，研究秩排序滤波器和层叠滤波器的输出分布。

Connection between stack filters and rank order filters is analyzed , based on the Boolean functions , output distribution of stack filters and rank order filters is researched .

我们将体上矩阵的秩推广为含幺环上矩阵的B-秩，并研究了含幺环上矩阵的B&秩的性质。

We generalize the rank of matrices over a division ring to the B-rank of matrices over a ring with identity and study properties for the B-rank of matrices over a ring with identity .

本文首先给出R上矩阵多项式的秩的一个定理，然后用此定理刻化了R上某些矩阵的特征性质。

In this paper we first give a theorem of rank of matrix polynomial over R and then portray the characterizations of some matrices over R by the theorem .

除环上一个矩阵秩的恒等式的修正

Correction of Identity of the Rank of Matrix over Division Ring

体上矩阵具有固定秩的广义逆矩阵

Fixed Rank Generalized Inverse Matrix For a Matrix Over Skew Field

任意体上两类矩阵秩的性质

Properties of two-type matrices rank over an arbitrary division ring

关于除环上分块矩阵秩的等式

On Rank Equalities of Partitioned Matrices over a Division Ring

讨论除环上无限方阵的秩及分解问题。

Rank and decomposition of infinite matrix over a division ring are discussed .

降秩多级维纳滤波器在相关意义上进行截断降秩，其降秩性能优于基于特征子空间截断的降秩方法。

Reduced-rank Multistage Wiener Filter ( RR-MWF ) has better rank reduction performance than the methods based on eigen-subspace truncation .

上三角矩阵空间上保持秩可加的线性映射

Linear maps preserving rank-additivity on the space of triangular matrices

提出P&除环上矩阵的广义逆的概念，证明了除环Q上秩为r的任何m×n矩阵A，必存在唯一的一个广逆B等结论。

In this paper , the concept of the matrix generalized inversion on P-division ring is proposed and it is proven that there must exist the unique generalized inverse B for any mn matrix with r on division ring Q.

令V是域F上的向量空间，F（V）是作用于V上的所有有限秩线性变换构成的向量空间。

Let F ( V ) be the space of all finite rank linear transformations on a vector space V over a field F.

讨论了GF（p）上线性方程组的求解，给出了简化形式下GF（p）上线性方程组的通解形式，并给出了GF（p）上某些常见满秩矩阵的逆的具体表达式。

Solution of linear equations on GF ( p ) is discussed , general solution of linear equations in simplified form on GF ( p ) is given , concrete expressions of inverse of some common matrices onGF ( p ) are given .