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  • An equation related to two-sided centralizers in prime rings
    Fošner, Maja ; Vukman, Joso
    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 ▫$R$▫.
    Vir: Houston journal of mathematics. - ISSN 0362-1588 (Vol. 35, no. 2, 2009, str. 353-361)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2009
    Jezik - angleški
    COBISS.SI-ID - 15196505

    Povezava(-e):

    http://www.math.uh.edu/~hjm/restricted/pdf35(2)/02fosner.pdf
    Digitalna knjižnica Univerze v Mariboru – DKUM

vir: Houston journal of mathematics. - ISSN 0362-1588 (Vol. 35, no. 2, 2009, str. 353-361)

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