K-Commuting Mappings of Generalized Matrix Algebras

Details K-Commuting Mappings of Generalized Matrix Algebras K-Commuting Mappings of Generalized Matrix Algebras

2011-11-27

arxiv.org/abs/1111.6316v1

Mathematics

Rings and Algebras

20 pages

Scientific paper

Motivated by the intensive and powerful works of Beidar and Bresar, we will study k-commuting mappings of generalized matrix algebras in this article. The general form of arbitrary k-commuting mapping of a generalized matrix algebra is determined. It is shown that under suitable hypotheses, every k-commuting mapping of a generalized matrix algebra take a certain form which is said to be proper. A number of applications related to k-commuting mappings are presented. These results not only give new perspectives to the aforementioned works of Beidar and Bresar but also extend the main results of Cheung, Du and Wang to the case of generalized matrix algebras

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