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b-Generalized Derivations Acting on Multilinear Polynomials in Prime Rings

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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 [Formula: see text]… Click to show full 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 [Formula: see text] is a non-central multilinear polynomial over C, [Formula: see text], 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 [Formula: see text] for all [Formula: see text] in Rn.

Keywords: acting multilinear; see text; formula see; derivations acting; generalized derivations

Journal Title: Algebra Colloquium
Year Published: 2018

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