Jordan τ-derivations of Prime Rings

Abstract

Let R be a prime ring which is not commutative, with maximal symmetric ring of quotients Q ms R , and let be an anti-automorphism of R. An additive mapwhere a ∈ Q ms R . It is proved that any Jordan -derivation of R is X-inner if either R is not a GPI-ring or R is a PI-ring except when charR = 2 and dim C RC = 4, where C is the extended centroid of R.