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线性变换在互素多项式下核的直和分解及应用
引用本文:黄堃,杨锦伟.线性变换在互素多项式下核的直和分解及应用[J].平顶山学院学报,2008,23(5).
作者姓名:黄堃  杨锦伟
作者单位:平顶山学院,河南,平顶山,467000
摘    要:给出了两两互素多项式下线性变换的核的直和分解,并应用于幂等矩阵(对合矩阵)的秩的等式证明中.

关 键 词:互素多项式  线性变换    直和分解

The Direct Sum Decomposition of the Addition of a Linear Transformation under the Coprime Polynomial and Its Application
HUANG Kun,YANG Jin-wei.The Direct Sum Decomposition of the Addition of a Linear Transformation under the Coprime Polynomial and Its Application[J].Journal of Pingdingshan University,2008,23(5).
Authors:HUANG Kun  YANG Jin-wei
Institution:HUANG Kun,YANG Jin-wei(Pingdingshan University,Pingdingshan,Henan 467000,China)
Abstract:The direct sum decomposition of the addition of a linear transformation under the coprime polynomial was given,and it was used in the proof of some equality about the rank of idempotent matrix.
Keywords:coprime polynomial  linear transformation  addition  direct sum decomposition  
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