Let R be a prime ring, Qr the right Martindale quotient ring of R, C the extended centroid of R, I a noncentral ideal of R, F a nonzero generalized skew derivation of R, and m,n,s ≥ 1 be fixed integers, such that [F(um)un,us]=0, for all u ∈ I.If either char(R) = 0orchar(R) = p = 2 and p ∤ s, then there exists a ∈ Qr such that F(x) = xa, for all x ∈ R.
A Note on n-Commuting Generalized Skew Derivations on Prime Rings
Francesco Rania
2024-01-01
Abstract
Let R be a prime ring, Qr the right Martindale quotient ring of R, C the extended centroid of R, I a noncentral ideal of R, F a nonzero generalized skew derivation of R, and m,n,s ≥ 1 be fixed integers, such that [F(um)un,us]=0, for all u ∈ I.If either char(R) = 0orchar(R) = p = 2 and p ∤ s, then there exists a ∈ Qr such that F(x) = xa, for all x ∈ R.File in questo prodotto:
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