On certain functional equations related to Jordan triple ▫$(\theta,\phi)$▫-derivations on semiprime rings
Fošner, Ajda ; Vukman, Joso
Glavni namen članka je dokazati naslednji izrek. Naj bo ▫$R$▫ polprakolobar s karakteristiko različno od dva in s simetričnim kolobarjem kvocientov ▫$Q_{s}$▫ in naj bosta ▫$\theta$▫ in ▫$\phi$▫ ...avtomorfizma kolobarja ▫$R$▫. Naj bo ▫$T$▫ aditivna preslikava na ▫$R$▫, ki zadošča enakosti $▫T(xyx) = T(x)\theta(y)\theta(x) - \phi(x)T(y)\theta(x) + \phi(x)\phi(y)T(x)$▫ za vse elemente ▫$x$▫ in ▫$y$▫. Potem je ▫$2T(x) = q\theta(x) + \phi(x)q$▫ za vse ▫$x$▫ in nek fiksen element ▫$q$▫ iz ▫$Q_{s}$▫.
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