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Applied Mathematics and Mechanics (English Edition) ›› 1998, Vol. 19 ›› Issue (10): 951-956.

• 论文 • 上一篇    下一篇

THE DISCUSSION ON ALGEBRAIC PROPERTIES OF POLYNOMIAL MATRICES

梁治安, 叶庆凯   

  1. Department of Mechanics and Engineering Sciences, Peking University, Deijing 100871, P. R. China
  • 收稿日期:1997-07-07 出版日期:1998-10-18 发布日期:1998-10-18
  • 基金资助:

    Project supported by the Doctoral Programme from the State Education Commission China, the National Natural Science Foundation of China (69574001) and the Inner Mongolia Natural Science Foundation (950308)

THE DISCUSSION ON ALGEBRAIC PROPERTIES OF POLYNOMIAL MATRICES

Liang Zhian, Ye Qingkai   

  1. Department of Mechanics and Engineering Sciences, Peking University, Deijing 100871, P. R. China
  • Received:1997-07-07 Online:1998-10-18 Published:1998-10-18
  • Supported by:

    Project supported by the Doctoral Programme from the State Education Commission China, the National Natural Science Foundation of China (69574001) and the Inner Mongolia Natural Science Foundation (950308)

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摘要：

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.

关键词: polynomial matrix, left (right) coprime, principal ideal ring

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.

Key words: principal ideal ring, polynomial matrix, left (right) coprime

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