| Title: | Equations related to derivations on prime rings |
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| Authors: | ID Fošner, Maja (Author)
ID Vukman, Joso (Author) |
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| Files: |  http://dx.doi.org/10.3336/gm.46.1.06
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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: | In this paper we prove the following result. Let ▫$m ge 0$▫ and ▫$nge 0$▫ be integers with ▫$m+n ne 0$▫ and let ▫$R$▫ be a prime ring with ▫$char(R)=0$▫ or ▫$m+n+1 le char(R) ne 2$▫. Suppose there exists a nonzero additive mapping ▫$D:R to R$▫ satisfying the relation ▫$D(x^{m+n+1}) = (m+n+1)x^m D(x)x^n$▫ for all ▫$x in R$▫. In this case ▫$D$▫ is a derivation and ▫$R$▫ is commutative. |
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| Keywords: | matematika, prakolobar, funkcijska identiteta, odvajanje, mathematics, prime ring, functional identity, derivation |
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| Year of publishing: | 2011 |
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| Number of pages: | str. 31-41 |
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| Numbering: | Vol. 46, no. 1 |
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| PID: | 20.500.12556/DKUM-52021  |
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| UDC: | 512.552 |
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| ISSN on article: | 0017-095X |
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| COBISS.SI-ID: | 18432520 |
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| NUK URN: | URN:SI:UM:DK:0GNNI8E6 |
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| Publication date in DKUM: | 10.07.2015 |
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| Views: | 1358 |
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| Downloads: | 127 |
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| Metadata: |    |
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| Categories: | Misc.
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