| Title: | Identities with generalized derivations in prime rings |
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| Authors: | ID Fošner, Maja (Author)
ID Vukman, Joso (Author) |
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| Files: |  http://dx.doi.org/10.1007/s00009-011-0158-0
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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 investigate identities with two generalized derivations in prime rings. We prove, for example, the following result. Let ▫$R$▫ be a prime ring of characteristic different from two and let ▫$F_1, F_2 colon R to R$▫ be generalized derivations satisfying the relation ▫$F_1(x)F_2(x) + F_2(x)F_1(x) = 0$▫ for all ▫$x in R$▫. In this case either ▫$F_1 = 0$▫ or ▫$F_2 = 0$▫. |
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| Keywords: | matematika, prakolobar, polprakolobar, odvajanje, posplošeno odvajanje, mathematics, prime ring, semiprime ring, derivation, generalized derivation |
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| Year of publishing: | 2012 |
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| Number of pages: | str. 847-863 |
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| Numbering: | Vol. 9, no. 4 |
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| PID: | 20.500.12556/DKUM-52023  |
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| UDC: | 512.552.3 |
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| ISSN on article: | 1660-5446 |
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| COBISS.SI-ID: | 19104776 |
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| NUK URN: | URN:SI:UM:DK:DDWXYNZB |
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| Publication date in DKUM: | 10.07.2015 |
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| Views: | 1414 |
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| Downloads: | 110 |
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| Metadata: |    |
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| Categories: | Misc.
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