| Title: | An equation related to two-sided centralizers in prime rings |
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| Authors: | ID Fošner, Maja (Author)
ID Vukman, Joso (Author) |
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| Files: |  http://www.math.uh.edu/~hjm/restricted/pdf35(2)/02fosner.pdf
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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: | We prove the following result: Let ▫$R$▫ be a prime ring and let ▫$T : R to R$▫ be an additive mapping satisfying the relation ▫$nT(x^n) = T(x)x^{n-1} + xT(x)x^{n-2} + ... + x^{n-1}T(x)$▫ for all ▫$x in R$▫ where ▫$n > 1$▫ is some fixed integer. If ▫$char(R) = 0$▫ or ▫$n le char(R) ne 2$▫, then ▫$T$▫ is of the form ▫$T(x) = lambda x$▫ for all ▫$x in R$▫ and some fixed element ▫$lambda in C$▫ where ▫$C$▫ is the extended centroid of ▫$R$▫. |
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| Keywords: | matematika, algebra, prakolobar, polprakolobar, funkcijska identiteta, dvostranski centralizator, mathematics, algebra, prime ring, semiprime ring, functional identity, two-sided centralizer |
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| Year of publishing: | 2009 |
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| Number of pages: | str. 353-361 |
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| Numbering: | Vol. 35, no. 2 |
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| PID: | 20.500.12556/DKUM-49684  |
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| UDC: | 512.552 |
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| ISSN on article: | 0362-1588 |
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| COBISS.SI-ID: | 15196505 |
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| NUK URN: | URN:SI:UM:DK:RDLDMDJW |
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| Publication date in DKUM: | 10.07.2015 |
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| Views: | 1409 |
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| Downloads: | 93 |
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| Metadata: |    |
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| Categories: | Misc.
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