A NOTE ON (sigma,tau)-DERIVATIONS OF RINGS WITH INVOLUTION

Abstract

Let R be a 2-torsion free simple *-ring and D: W R -> R be an additive mapping satisfiying D(xx) = D(x)sigma(x*) +tau(x)D(X*) for all x epsilon R: Then D is (sigma,tau)-derivation of R or R is S-4 ring. Also, if R is a 2-torsion free semiprime ring and G W R -> R is an additive mapping related with some (sigma,tau)- derivation D of R such that G(xx*) = G(X)sigma(x*) + tau(x) D(x*) for all x epsilon R; then G is generalized (sigma,tau)-derivation of R: