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arXiv · 1111.6316

K-Commuting Mappings of Generalized Matrix Algebras

Yanbo Li·Feng Wei·Ajda Fošner
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Abstract

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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BibTeXRIS

Yanbo Li, Feng Wei, Ajda Fošner. 2011-11-27. K-Commuting Mappings of Generalized Matrix Algebras. https://arxiv.org/abs/1111.6316

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