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  • On functional equation characterizing derivations
    Fošner, Maja ; Marcen, Benjamin ; Vukman, Joso
    this paper we prove the following result. Let R be a prime ring with char(R)≠2,3,5,7 and let D:R→R be an additive mapping satisfying the relation 3D(x3)=2D(x)x2+2x2D(x)+xD(x)x+D(x2)x+xD(x2) for all ... x∈R. In this case D is a derivation. This result is related to Herstein’s theorem, which states than any Jordan derivation on a prime ring with char(R)≠2 is a derivation.
    Vir: Communications in algebra. - ISSN 0092-7872 (Vol. 50, iss. 11, Sep. 2022, str. 1-11)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2022
    Jezik - angleški
    COBISS.SI-ID - 121254403

vir: Communications in algebra. - ISSN 0092-7872 (Vol. 50, iss. 11, Sep. 2022, str. 1-11)
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