Browsing by Author "Yarbil, Nihan Baydar"

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    Annihilators of power values of b-generalized derivations in prime rings
    (Ankara Üniversitesi Fen Fakültesi, 2020-12-31) Yarbil, Nihan Baydar; Other; Other
    Let R be a prime ring with extended centroid C and maximal left ring of quotients Q m l ( R ) . For a nonzero element b ∈ R let F : R → R be a right generalized b -derivation associated with the map d of R . Suppose that s ( F ( x ) ) n = 0 for all x ∈ R where s is a nonzero element in R and n ≥ 1 is a fixed positive integer. Then there exist some c ∈ Q m l ( R ) and β ∈ C such that d ( x ) = a d c ( x ) , F ( x ) = ( b + β ) x b for all x ∈ R and either s ( c + β ) = 0 or b ( c + β ) = 0 .