Article

A note on generalized skew-derivations on multilinear polynomials in prime rings

Published in: Quaestiones Mathematicae
Volume 43 , issue 2 , 2020 , pages: 251–264

DOI: 10.2989/16073606.2019.1577307

Author(s): Basudeb Dhara Department of Mathematics, Belda College, India

Keywords: 16W25 , 16N60 , 16W25 , 16N60

Abstract

Let R be a prime ring of characteristic different from 2, Q_r its right Martindale quotient ring and C its extended centroid, f (X₁, . . . , X_n) a multilinear polynomial over C that is noncentral-valued on R and F a generalized skew derivation of R. If for some 0 ≠ a ∈ R − C,

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