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  • On some functional equations arising from ▫$(m, n)$▫-Jordan derivations and commutativity of prime rings
    Fošner, Maja ; Vukman, Joso
    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.
    Source: Rocky Mountain journal of mathematics. - ISSN 0035-7596 (Vol. 42, no. 4, 2012, str. 1153-1168)
    Type of material - article, component part ; adult, serious
    Publish date - 2012
    Language - english
    COBISS.SI-ID - 19371016

    Link(s):

    http://dx.doi.org/10.1216/RMJ-2012-42-4-1153
    Digital Library of the University of Maribor – DLUM

source: Rocky Mountain journal of mathematics. - ISSN 0035-7596 (Vol. 42, no. 4, 2012, str. 1153-1168)

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