| 交换半环上矩阵行列式的性质 |
| |
| 引用本文： | 刘一瑾,王学平.交换半环上矩阵行列式的性质[J].模糊系统与数学,2019(3):56-62. |
| |
| 作者姓名： | 刘一瑾 王学平 |
| |
| 作者单位： | 四川师范大学数学科学学院 |
| |
| 基金项目： | 国家自然科学基金资助项目(61573240) |
| |
| 摘 要： | 本文主要研究了交换半环上矩阵乘积行列式的性质。讨论了行列式的乘积与乘积的行列式间的关系,并进一步给出了伴随阵的乘积与乘积的伴随阵之间的关系。
|
| 关 键 词： | 交换半环 可逆矩阵 行列式 伴随矩阵 |
The Properties of Determinants for Matrix Multiplications over Commutative Semirings |
| |
| LIU Yi-jin,WANG Xue-ping.The Properties of Determinants for Matrix Multiplications over Commutative Semirings[J].Fuzzy Systems and Mathematics,2019(3):56-62. |
| |
| Authors: | LIU Yi-jin WANG Xue-ping |
| |
| Institution: | (College of Mathematics Science,Sichuan Normal University,Chengdu 610066,China) |
| |
| Abstract: | This paper mainly investigates the properties of determinants for matrix multiplications over commutative semirings.It discusses the relationships between the determinant of matrix multiplications and the multiplication of determinants for matrices,and shows the relationships between the multiplication of adjoint matrices and the adjoint matrix of matrix multiplications. |
| |
| Keywords: | Commutative Semiring Invertible Matrix Determinant Adjoint Matrix |
| 本文献已被 CNKI 维普 等数据库收录！ |
