| Title: | Commuting maps: a survey |
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| Authors: | ID Brešar, Matej (Author) |
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| Files: |  http://www.math.nthu.edu.tw/~tjm/myweb/FrameConAbs.htm
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| Language: | English |
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| Work type: | Article |
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| Typology: | 1.02 - Review Article |
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| Organization: | PEF - Faculty of Education
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| Abstract: | A 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. |
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| Keywords: | matematika, algebra, prakolobar, komutirajoča preslikava, funkcijska identiteta, Banachova algebra, odvajanje, Liejeve algebre, linearni ohranjevalci, mathematics, algebra, commuting map, functional identity, prime ring, Banach algebra, derivation, Lie theory, linear preservers |
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| Year of publishing: | 2004 |
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| Number of pages: | str. 361-397 |
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| Numbering: | Vol. 8, no. 3 |
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| PID: | 20.500.12556/DKUM-51486  |
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| UDC: | 512.552 |
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| ISSN on article: | 1027-5487 |
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| COBISS.SI-ID: | 13330265 |
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| NUK URN: | URN:SI:UM:DK:KEHNIXMF |
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| Publication date in DKUM: | 10.07.2015 |
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| Views: | 1805 |
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| Downloads: | 37 |
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| Metadata: |    |
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| Categories: | Misc.
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