| Title: | A result concerning derivations in prime rings |
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| Authors: | ID Fošner, Maja (Author)
ID Peršin, Nina (Author) |
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| Files: |  http://web.math.pmf.unizg.hr/glasnik/vol_48/no1_06.html
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| Language: | English |
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| Work type: | Not categorized |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | FL - Faculty of Logistic
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| Abstract: | A classical result of Herstein asserts that any Jordan derivation on a prime ring of characteristic different from two is a derivation. It is our aim in this paper to prove the following result, which is in the spirit of Herstein's theorem. Let ▫$R$▫ be a prime ring with ▫$text{char}(R) = 0$▫ or ▫$4 < text{char}(R)$▫, and let ▫$D colon R to R$▫ be an additive mapping satisfying either the relation ▫$D(x^3) = D(x^2)x + x^2D(x)$▫ or the relation ▫$D(x^3) = D(x)x^2 + xD(x^2)$▫ for all ▫$x in R$▫. In both cases ▫$D$▫ is a derivation. |
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| Keywords: | prakolobar, polprakolobar, odvajanje, jordansko odvajanje, jordansko trojno odvajanje, funkcijska identiteta, prime ring, semiprime ring, derivation, Jordan derivation, Jordan triple derivation, functional identity |
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| Year of publishing: | 2013 |
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| Number of pages: | str. 67-79 |
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| Numbering: | Vol. 48, no. 1 |
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| PID: | 20.500.12556/DKUM-49939  |
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| UDC: | 512.552 |
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| ISSN on article: | 0017-095X |
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| COBISS.SI-ID: | 512501053 |
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| DOI: | 10.3336/gm.48.1.06 |
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| NUK URN: | URN:SI:UM:DK:VBPCHOW3 |
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| Publication date in DKUM: | 10.07.2015 |
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| Views: | 2137 |
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| Downloads: | 92 |
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| Metadata: |    |
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| Categories: | Misc.
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