| Title: | On some functional equations arising from (m, n)-Jordan derivations and commutativity of prime rings |
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| Authors: | ID Fošner, Maja (Author)
ID Vukman, Joso (Author) |
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| Files: |  http://dx.doi.org/10.1216/RMJ-2012-42-4-1153
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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: | The purpose of this paper is to prove the following result. Let ▫$m, n ge 1$▫ be some fixed integers with ▫$m ne n$▫, and let ▫$R$▫ be a prime ring with ▫$(m+n)^2 < text{char} (R)$▫. Suppose a nonzero additive mapping ▫$D : R to R$▫ exists satisfying the relation ▫$(m+n)^2 D(x^3) = m(3m+n) D(x)x^2 + 4mnxD(x)x + n(3n+m)x^2 D(x)$▫ for all ▫$x in R$▫. In this case ▫$D$▫ is a derivation and ▫$R$▫ is commutative. |
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| Keywords: | matematika, prakolobar, polprakolobar, odvajanje, jordansko odvajanje, levo odvajanje, mathematics, prime ring, semiprime ring, derivation, Jordan derivation, left dderivation, left Jordan derivation, (m, n)-Jordan drivation |
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| Year of publishing: | 2012 |
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| Number of pages: | str. 1153-1168 |
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| Numbering: | Vol. 42, no. 4 |
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| PID: | 20.500.12556/DKUM-52026  |
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| UDC: | 512.552.3 |
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| ISSN on article: | 0035-7596 |
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| COBISS.SI-ID: | 19371016 |
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| NUK URN: | URN:SI:UM:DK:MUIPFFWD |
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| Publication date in DKUM: | 10.07.2015 |
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| Views: | 1504 |
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| Downloads: | 98 |
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| Metadata: |    |
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| Categories: | Misc.
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