Let R be a prime ring with center Z(R), right Martindale quotient ring Q, and extended centroid C. A b-generalized derivation is defined as an additive mapping g: R → Q such that g(xy) = g(x)y + bxd(y) for all x, y ∈ R, where b ∈ Q and d : R → Q is an additive map. We extend some well-known results concerning (generalized) derivations on prime rings to b-generalized derivations. Further, we investigate the b-generalized derivation acting as a homomorphism or anti-homomorphism in a prime ring.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 74, No. 6, pp. 832–843, June, 2022. Ukrainian DOI: https://doi.org/10.37863/umzh.v74i6.5989.
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Pehlivan, T., Albaş, E. b-Generalized Derivations on Prime Rings. Ukr Math J 74, 953–966 (2022). https://doi.org/10.1007/s11253-022-02109-y
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DOI: https://doi.org/10.1007/s11253-022-02109-y