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您的检索式：作者名="Basudeb Dhara"
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| 1 | Generalized Derivations Acting on Multilinear Polynomials in Prime Rings and Banach Algebras显示文摘Let R be a prime ring of characteristic different from 2 with Utumi quotientring U and extended centroid C,F and G,the two nonzero generalized derivationsof R,I an ideal of R and f(x1,...,xn)a multilinear polynomial over C which is notcentral valued on R.If F(G(f(x1,...,Xn))f(X1,...,Xn))=0 for all x1,...,Xn∈1,then one of the followings holds:(1)there exist a,b c Usuch that F(x)=ax and G(x)=bx for all x c R with ab=0;(2)there exista,b,p c U such that F(x)=ax+xb and G(x)=px for all x c R with F(p)=0and f(x1,...,xn)’is central valued on R.We also obtain some related results in caseswhere R is a semiprime ring and Banach algebra. | Basudeb Dhara Nurcan Argaç | 2016 | Communications in Mathematics and Statistics2016，4，1： | 2 |
| 2 | b-Generalized Derivations Acting on Multilinear Polynomials in Prime Rings显示文摘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. | Basudeb Dhara Vincenzo De Filippis | 2018 | Algebra Colloquium2018，25，4： | 1 |
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