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| 有单位元交换环上二阶矩阵的因子分解 | |
| 引用本文： | 李开望 陈小松. 有单位元交换环上二阶矩阵的因子分解[J]. 数学理论与应用, 2007, 27(3): 21-24 |
| 作者姓名： | 李开望 陈小松 |
| 作者单位： | 中南大学数学科学与计算学院，中南大学数学科学与计算学院 长沙，410083，长沙，410083 |
| 摘 要： | 对有单位元交换环上矩阵分解问题进行了讨论,给出了有单位元交换环上二阶矩阵可以因式分解的充分必要条件,即单位元交换环上二阶矩阵可以因式分解当且仅当这个矩阵的行列式可以因子分解. |
| 关 键 词： | 交换环 矩阵 因子分解 不可约 |
| 修稿时间： | 2007-01-20 |
The factorization of second -- roder matrix in commutative ring with identity |
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| Li Kaiwang ,Chen Xiaosong. The factorization of second -- roder matrix in commutative ring with identity[J]. Mathematical Theory and Applications, 2007, 27(3): 21-24 | |
| Authors: | Li Kaiwang Chen Xiaosong |
| Affiliation: | College of Math. Sciences and Computational Technology, Central South University, Changsha, 410083 |
| Abstract: | The factorization of the matrix over a commutative ring with identity is discussed in this essay and the necessary and sufficient condition of factorability of second-lorder matrix over a commutative ring with identity is given:Second-order matrix over a commutative ring with identity is factorable if and only if its determinant is factorable. |
| Keywords: | commutative ring matrix factorization irreducible. |
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