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Two results concerning symetric bi-derivations on prime rings
Vukman, Joso
Naj bo ▫$R$▫ kolobar. Biaditivna simetrična preslikava ▫$D(.,.): R\times R\to R$▫ je simetrična biderivacija, če je za vsak ▫$y\in R$▫ preslikave ▫$x\mapsto D(x,y)$▫ derivacija. V članku sta dokazana ...dva rezultata o simetričnih biderivacijah na prakolobarjih. Prvi rezultat pravi naslednje: če sta ▫$D_1$▫ in ▫$D_2$▫ simetrični biderivaciji na prakolobarju s karakteristiko različno od dva in tri tako, da je ▫$D_1(x,x)D_2(x,x)=0,\quad x\in R$▫, potem je ▫$D_1=0$▫ ali ▫$D_2=0$▫.
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