Let R be a prime ring of characteristic different from 2,Q be its maximal right ring of quotients,and C be its extended centroid.Suppose that f(x1,...,xn)is a non-central multilinear polynomial over C,0≠p∈R,and F,G ...Let R be a prime ring of characteristic different from 2,Q be its maximal right ring of quotients,and C be its extended centroid.Suppose that f(x1,...,xn)is a non-central multilinear polynomial over C,0≠p∈R,and F,G are two b-generalized derivations of R.In this paper we describe all possible forms of F and G in the case pG(F(f(r))f(r))=0 for all r=(r1,...,rn)in R^n.展开更多
文摘Let R be a prime ring of characteristic different from 2,Q be its maximal right ring of quotients,and C be its extended centroid.Suppose that f(x1,...,xn)is a non-central multilinear polynomial over C,0≠p∈R,and F,G are two b-generalized derivations of R.In this paper we describe all possible forms of F and G in the case pG(F(f(r))f(r))=0 for all r=(r1,...,rn)in R^n.
