Let R be a noncommutative prime ring of characteristic different from 2, Qr the right Martindale quotient ring of R, C = Z(Qr) the extended centroid of R and f (x1, ..., xn) a noncentral multilinear polynomial over C. In this paper we describe all possible forms of two generalized skew derivations F and G of R satisfying the condition F(u)2 = G(u2), for all u E f(R). © 2019, © 2019 Taylor & Francis Group, LLC.
Generalized skew-derivations and generalization of homomorphism maps in prime rings
De Filippis;
2019-01-01
Abstract
Let R be a noncommutative prime ring of characteristic different from 2, Qr the right Martindale quotient ring of R, C = Z(Qr) the extended centroid of R and f (x1, ..., xn) a noncentral multilinear polynomial over C. In this paper we describe all possible forms of two generalized skew derivations F and G of R satisfying the condition F(u)2 = G(u2), for all u E f(R). © 2019, © 2019 Taylor & Francis Group, LLC.File in questo prodotto:
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