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  • On functional equation related to ▫$(m, n)$▫-Jordan centralizers in prime rings
    Fošner, Maja ; Marcen, Benjamin ; Vukman, Joso
    In this paper, we prove the following result. Let ▫$m \ge 1,n\ge 1$▫ be some fixed integers and let ▫$R$▫ be a prime ring with ▫$\text{char}(R)=0$▫ or ▫$(m+n)^2<\text{char}(R)$▫. Suppose there exists ... an additive mapping ▫$T \colon R \rightarrow R$▫ satisfying the relation ▫$(m+n)^2T(x^4) = m^2T(x)x^3+mnxT(x)x^2+mnx^2T(x)x+n^2x^3T(x)$▫ for all ▫$x \in R$▫. In this case, ▫$T$▫ is a two-sided centralizer.
    Source: Bulletin of the Malaysian Mathematical Sciences Society. - ISSN 0126-6705 (Vol. 42, no. 6, Nov. 2019, str. 3131-3147)
    Type of material - article, component part ; adult, serious
    Publish date - 2019
    Language - english
    COBISS.SI-ID - 512927037

    Link(s):

    https://doi.org/10.1007/s40840-018-0650-9
    DOI

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