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.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.