COMMUTING MAPS: A SURVEY
A map f on a ring A is said to be commuting if f(x) commutes with x for every x ∈ 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, v...
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| Veröffentlicht in: | Taiwanese journal of mathematics 2004-09, Vol.8 (3), p.361-397 |
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| container_title | Taiwanese journal of mathematics |
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| creator | Brešar, Matej |
| description | A map f on a ring A is said to be commuting if f(x) commutes with x for every x ∈ 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. |
| doi_str_mv | 10.11650/twjm/1500407660 |
| format | Article |
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| identifier | ISSN: 1027-5487 |
| ispartof | Taiwanese journal of mathematics, 2004-09, Vol.8 (3), p.361-397 |
| issn | 1027-5487 2224-6851 |
| language | eng |
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| source | Jstor Complete Legacy; Project Euclid Open Access; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; Project Euclid Complete; JSTOR Mathematics & Statistics |
| subjects | Algebra Commuting Linear algebra Logical proofs Mathematical rings Mathematical theorems Subrings SURVEY PAPER Von Neumann algebra |
| title | COMMUTING MAPS: A SURVEY |
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