Abstract
A map $f$ on a ring $\cal A$ is said to be commuting if $f(x)$ commutes with $x$ for every $x\in \cal A$. The paper surveys the development of the theory of commuting maps and their applications. The following topics are discussed: commuting derivations, commuting additive maps, commuting traces of multiadditive maps, various generalizations of the notion of a commuting map, and applications of results on commuting maps to different areas, in particular to Lie theory.
Citation
Matej Breˇsar. "COMMUTING MAPS: A SURVEY." Taiwanese J. Math. 8 (3) 361 - 397, 2004. https://doi.org/10.11650/twjm/1500407660
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