A functional identity with an automorphism in semiprime rings
Eremita, Daniel
Naj bo ▫$\sigma$▫ avtomorfizem polprakolobarja ▫$R$▫ in naj bodo ▫$f,g,h,k$▫ preslikave iz množice ▫$S$▫ v kolobar ▫$R$▫. Dobljen je potreben in zadosten pogoj za to, da preslikave ▫$f,g,h,k$▫ in ...▫$\sigma$▫ zadoščajo identiteti ▫$f(s)xg(t) = h(s)\sigma(x)k(t)$▫ za vse ▫$s,t \in S$▫, ▫$x \in R$▫. Ta rezultat je uporabljen pri karakterizaciji ▫$\sigma$▫-biodvajanj na polprakolobarjih.
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