Iranian Journal of Mathematical Sciences and Informatics

en Annihilators of Power Central Values of Generalized Skew Derivations on Lie Ideals عمومى General پژوهشي Research paper <div>Let R be a prime ring with center Z(R) and G be a generalized α-derivation of R for  α∈ Aut(R). Let a ∈ R be a nonzero element and n be a fixed positive integer. (i) If aG(x)n ∈ Z(R) for all x ∈ R then aG(x) = 0 for all x ∈ R unless dimCRC = 4. (ii) If aG(x)n ∈ Z(R) for all x ∈ L, where L is a noncommutative Lie ideal of R then aG(x) = 0 for all x ∈ R unless dimCRC = 4.</div> Prime ring, Lie ideal, Generalized skew derivation, Generalized derivation, Automorphism, Right Martindale quotient ring, Two-sided Martindale quotient ring, Generalized polynomial identity 35 49 http://ijmsi.ir/browse.php?a_code=A-10-5160-1&slc_lang=en&sid=1 Nihan Baydar Yarbil nihan.baydar.yarbil@ege.edu.tr 100319475328460010638 100319475328460010638 Yes Department of Mathematics, Ege University Bornova, Izmir 35100, Turkey Nurcan Argaç nurcan.argac@ege.edu.tr 100319475328460010639 100319475328460010639 No Department of Mathematics, Ege University Bornova, Izmir 35100, Turkey