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Symmetric bi-derivations on prime and semi-prime rings
Vukman, Joso
Naj bo ▫$K$▫ kolobar. Biaditivna simetrična preslikava ▫$D(.,.):K \times K \to K$▫ je simetrična biderivacija, če je za vsak fiksen ▫$y \in K$▫ preslikava ▫$x \mapsto D(x,y)$▫ derivacija. Glavni ...namen članka je dokazati rezultat v smislu klasičnega izreka E. Posnerja, ki pravi naslednje: Če je ▫$K$▫ prakolobar s karakteristiko različno od dva in sta ▫$D_1$▫ in ▫$D_2$▫ od nič različni derivaciji, potem preslikava ▫$x \mapsto D_1(D_2(x))$▫ ne more biti derivacija.
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