Abstract

LetRbe a prime ring of charR≠2,da nonzero derivation ofRandρa nonzero right ideal ofRsuch that[[d(x),x]n,[y,d(y)]m]t=0for allx,y∈ρ, wheren≥0,m≥0,t≥1are fixed integers. If[ρ,ρ]ρ≠0, thend(ρ)ρ=0.

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