No abstract

No abstract

No abstract

No abstract

Let R be a prime ring with extended centroid C and maximal left ring of quotients Q ml (R). For a nonzero element b 2 R, let F : R ! R be a right b-generalized derivation associated with the map d of R. Suppose that s (F (x)) n = 0 for all x 2 R where s is a nonzero element in R and n 1 is a …xed positive integer. Then there exist some c 2 Q ml (R) and 2 C such that d(x) = adc(x), F (x) = (c +)xb for all x 2 R and either s(c +) = 0 or b(c +) = 0.