广义矩阵代数的K-交换映射
K-Commuting Mappings of Generalized Matrix Algebras
摘要：
本文研究广义矩阵代数的$k$ -交换映射。给出了广义矩阵代数上任意$k$ -交换映射的一般形式。证明了广义矩阵代数的每个$k$ -可换映射在适当的假设下都具有某种形式，称之为真映射。给出了与$k$ -交换映射有关的一些应用.这些结果将Cheung，Du和Wang \cite{Cheung2, DuWang1}的已有工作推广到了广义矩阵的情形
英文摘要：
In this paper we will study $k$-commuting mappings of generalized matrix algebras. The general form of arbitrary $k$-commuting mapping of a generalized matrix algebra is determined. It is shown that under mild assumptions, every $k$-commuting mapping of a generalized matrix algebra takes a certain form which is said to be proper. A number of applications related to $k$-commuting mappings are presented. These results extend the existing works of Cheung, Du and Wang \cite{Cheung2, DuWang1} to the case of generalized matrix
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