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 fx1,...,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 pGFfrfr=0 for all r=r1,...,rn in Rn. © 2018 Academy of Mathematics and Systems Science, Chinese Academy of Sciences.
B -Generalized Derivations Acting on Multilinear Polynomials in Prime Rings
De Filippis V.
2018-01-01
Abstract
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 fx1,...,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 pGFfrfr=0 for all r=r1,...,rn in Rn. © 2018 Academy of Mathematics and Systems Science, Chinese Academy of Sciences.File in questo prodotto:
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