论文标题
Beneralized偏度衍生物作为Prime环中多线性多项式的2- jordan乘数
b-generalized skew derivations acting as 2-Jordan multiplier on multilinear polynomials in prime rings
论文作者
论文摘要
Let R be a prime ring of characteristic not equal to 2, U be its Utumi quotient ring and C be the extended centroid of R. Let ϕbe a multilinear polynomial over C, which is not central valued on R and F, G be two b-generalized skew derivations on R. The purpose of this article is to describe all possible forms of the b-generalized skew derivations F and G satisfying the identity $F (u)u + ug（u）= g（u ^2）$，对于所有u \ in {ϕ（ζ）| ζ=（ζ1。。，ζn）\ inr^n}。因此，我们讨论了这种身份充当Jordan派生和2- Jordan乘数的案例
Let R be a prime ring of characteristic not equal to 2, U be its Utumi quotient ring and C be the extended centroid of R. Let ϕbe a multilinear polynomial over C, which is not central valued on R and F, G be two b-generalized skew derivations on R. The purpose of this article is to describe all possible forms of the b-generalized skew derivations F and G satisfying the identity $F (u)u + uG(u) = G(u ^2)$, for all u \in {ϕ(ζ) | ζ = (ζ1 . . . , ζn) \inR^n}. Consequently, we discuss the cases when this identity acts as Jordan derivation and 2- Jordan multiplier on prime rings
