Commuting maps: a surveyBrešar, Matej (Avtor) matematikaalgebraprakolobarkomutirajoča preslikavafunkcijska identitetaBanachova algebraodvajanjeLiejeve algebrelinearni ohranjevalcimathematicsalgebracommuting mapfunctional identityprime ringBanach algebraderivationLie theorylinear preserversA map ▫$f$▫ on a ring ▫$mathcal{A}$▫ is said to be commuting if ▫$f(x)$▫ commutes with ▫$x$▫ for every ▫$x in mathcal{A}$▫. 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.20042015-07-10 14:50:59Članek v reviji51486UDK: 512.552OceCobissID: 13412872COBISS_ID: 13330265ISSN pri članku: 1027-5487NUK URN: URN:SI:UM:DK:KEHNIXMFsl