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  • A result concerning derivations in prime rings
    Fošner, Maja ; Peršin, Nina, 1981-
    A classical result of Herstein asserts that any Jordan derivation on a prime ring of characteristic different from two is a derivation. It is our aim in this paper to prove the following result, ... which is in the spirit of Herstein's theorem. Let ▫$R$▫ be a prime ring with ▫$\text{char}(R) = 0$▫ or ▫$4 < \text{char}(R)$▫, and let ▫$D \colon R \to R$▫ be an additive mapping satisfying either the relation ▫$D(x^3) = D(x^2)x + x^2D(x)$▫ or the relation ▫$D(x^3) = D(x)x^2 + xD(x^2)$▫ for all ▫$x \in R$▫. In both cases ▫$D$▫ is a derivation.
    Vir: Glasnik matematički. Serija 3. - ISSN 0017-095X (Vol. 48, no. 1, 2013, str. 67-79)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2013
    Jezik - angleški
    COBISS.SI-ID - 512501053

    Povezava(-e):

    http://web.math.pmf.unizg.hr/glasnik/vol_48/no1_06.html
    Digitalna knjižnica Univerze v Mariboru – DKUM
    DOI

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