摘要：AbstractLetRbe a*-ring. For anyx,y∈R, we denote the skew Lie product ofxandyby▿[x,y]=xy-yx∗. An additive mappingF:R→Ris called a generalized derivation if there exists a derivationdsuch thatF(xy)=F(x)y+xd(y)for allx,y∈R. The objective of this paper is to chracterize generalized derivations and to describe the structure of prime rings with involution*involving skew Lie product. In particular, we prove that ifRis a 2-torsion free prime ring with involution*of the second kind and admits a generalized derivation(F,d)such that▿[x,F(x∗)]±▿[x,x∗]∈Z(R)for allx∈R, thenRis commutative orF=∓IR, whereIRis the identity mapping ofR. Moreover, some related results are also obtained. Finally, we provide two examples to prove that the assumed restrictions on our main results are not superfluous.
