@Article{CMR-31-311, author = {Liang , Xinfeng and Xiao , Zhankui}, title = {Co-Commuting Mappings of Generalized Matrix Algebras}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {31}, number = {4}, pages = {311--319}, abstract = {

Let $\mathcal{G}$ be a generalized matrix algebra over a commutative ring $\mathcal{R}$ and $Z(\mathcal{G})$ be the center of $\mathcal{G}$. Suppose that $F, T : \mathcal{G} → \mathcal{G}$ are two co-commuting $\mathcal{R}$-linear mappings, i.e., $F(x)x = xT(x)$ for all $x ∈ \mathcal{G}$. In this note, we study the question of when co-commuting mappings on $\mathcal{G}$ are proper.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2015.04.03}, url = {http://global-sci.org/intro/article_detail/cmr/18913.html} }