On some additive mappings in rings with involution
Brešar, Matej ; Vukman, Joso
V članku je obravnavana preslikava ▫$D$▫ na ▫$\ast$▫-kolobarju ▫$K$▫, ki zadošča pogoju ▫$D(x^{2})=D(x)x^\ast +xD(x),\quad x\in K$▫. Glavni rezultat pravi, da je nekumutativen prakolobar ▫$K$▫ s ...karakteristiko različno od 2 normalen (t.j. ▫$xx^\ast=x^\ast x$▫ za vse ▫$x\in K$▫) natanko takrat, ko obstaja neničelna aditivna preslikava ▫$D:K\to K$▫, ki zadošča pogojema ▫$D(x^2)=D(x)x^\ast +xD(x),\quad x\in K$▫ in ▫$D(x)x=xD(x),\quad x\in K$▫.
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