Engel-Type Conditions Involving Two Generalized Skew Derivations in Prime Rings |
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Authors: | Vincenzo De Filippis |
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Institution: | 1. Department of Mathematics and Computer Science, University of Messina, Messina, Italydefilippis@unime.it |
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Abstract: | Let ? be a prime ring of characteristic different from 2, 𝒬r the right Martindale quotient ring of ?, 𝒞 the extended centroid of ?, F, G two generalized skew derivations of ?, and k ≥ 1 be a fixed integer. If F(r), r]kr ? rG(r), r]k = 0 for all r ∈ ?, then there exist a ∈ 𝒬r and λ ∈ 𝒞 such that F(x) = xa and G(x) = (a + λ)x, for all x ∈ ?. |
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Keywords: | Automorphism Generalized skew derivation Prime ring |
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