| 多项式矩阵代数性质讨论 |
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| 引用本文： | 梁治安,叶庆凯.多项式矩阵代数性质讨论[J].应用数学和力学,1998,19(10):879-884. |
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| 作者姓名： | 梁治安 叶庆凯 |
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| 作者单位： | 北京大学力学与工程科学系, 北京100871 |
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| 基金项目： | 高等学校博士学科专项基金,国家自然科学基金,内蒙古自然科学基金 |
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| 摘 要： | 本文利用系统与控制论中有关多项式矩阵的结果,对多项式矩阵代数性质进行讨论,得到的主要结果有多项式方阵环是主理想环,也是主单侧理想环。
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| 关 键 词： | 多项式矩阵 左(右)互质 主理想环 |
| 收稿时间： | 1997-07-07 |
The Discussion on Algebraic Properties of Polynomial Matrices |
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| Liang Zhian,Ye Qingkai.The Discussion on Algebraic Properties of Polynomial Matrices[J].Applied Mathematics and Mechanics,1998,19(10):879-884. |
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| Authors: | Liang Zhian Ye Qingkai |
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| Institution: | Department of Mechanics and Engineering Sciences, Peking University, Beijing 100871, P.R. China |
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| Abstract: | By using the results about polynomial matrix in the system and control theory,this paper gives some discussions about the algebraic properties of polynomial matrices. The obtained main results include that the ringof n×n polynomial matrices is a principal ideal and principal one-sided ideal ring. |
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| Keywords: | polynomial matrix left (right) coprime principal ideal ring |
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