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1·Reduced and regular properties of formal triangular matrix rings;

同时，关于形式三角矩阵环也有类似的同构式。

2·This article gives a Formula for finding inverse matrices of upper (down) triangular matrix.

本文给出了上(下)三角形矩阵的一个求逆公式。

3·We study in this paper the structure of additive mappings on triangular matrix algebras which preserve commutativity.

本文研究了三角矩阵代数上保持交换性的可加映射的结构。

4·A substance is through the primary transformation into an upper triangular matrix, the transformation matrix is a unit lower triangular matrix.

实质上是将A通过初等行变换变成一个上三角矩阵，其变换矩阵就是一个单位下三角矩阵。

5·The authors characterize the forms of additive invertable operators preserving inverse matrix of the upper triangular matrix space over a field which characteristic is not 2 or 3 .

刻划了特征不为2及3的域上的上三角矩阵空间保逆矩阵的可逆加法算子的形式。

6·Aim To study new ranking methods of ranking problem on complementary judgment matrix with triangular fuzzy Numbers.

目的研究解决元素为三角模糊数的互补判断矩阵排序问题的新方法。

7·LU decomposition is a triangular decomposition approach of non-singular matrix, and the digital image can be seen as a matrix.

LU分解是一种将非奇异矩阵进行三角分解的方法，而数字图像也可以看作矩阵。

8·The influence coefficient matrix of the linear axisymmetric triangular element and the input vector expression are derived.

推导了轴对称线性三角形元的影响系数矩阵和输入向量公式；

9·In this paper, triangular method and matrix method have been suggested inorder to determine singular position of mechanisms.

该文提出确定机构奇异位置的两种方法：三角化法和矩阵法。

10·Some concepts such as triangular fuzzy number consistent complementary judgement matrix, etc., are given and a linear objective programming model is established.

提出了三角模糊数一致性互补判断矩阵等概念，建立了一个线性目标规划模型。