Let m, n be two nonzero fixed positive integers, R a prime ring with the right Martindale quotient ring Q, G and H two generalized skew derivations of R with the same associated automorphism α of R. If G(xm+n) = H(xm)xn is an identity for R, then either R is commutative or there exists q ∈ Q such that G(x) = H(x) = qx, for any x ∈ R.

Generalized skew derivations as a generalization of left Jordan multipliers in prime rings

Rania F.;
2024-01-01

Abstract

Let m, n be two nonzero fixed positive integers, R a prime ring with the right Martindale quotient ring Q, G and H two generalized skew derivations of R with the same associated automorphism α of R. If G(xm+n) = H(xm)xn is an identity for R, then either R is commutative or there exists q ∈ Q such that G(x) = H(x) = qx, for any x ∈ R.
2024
Generalized polynomial identity, generalized skew derivation, prime ring
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12317/95822
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