___

• [1] Bonsall FF , Duncan J. Complete Normed Algebras. Berlin, Germany: Springer-Verlag, 1973.
• [2] Chang JC. On the identity h(x) = af(x) + g(x)b . Taiwanese Journal of Mathathematics 2003; 7: 103-113. doi: 10.11650/twjm/1500407520
• [3] Chuang CL. GPIs having coefficients in Utumi quotient rings. Proceedings of American Mathematical Society 1988; 103: 723-728. doi: 10.1090/S0002-9939-1988-0947646-4
• [4] De Filippis V. Annihilators and power values of generalized skew derivations on Lie ideals. Canadian Mathematical Bulletin 2016; 59: 258-270. doi: 10.4153/CMB-2015-077-x
• [5] De Filippis V, Wei F. b -generalized skew derivations on Lie ideals. Mediterrenian Journal of Mathematics 2018; 15: 65. doi: 10.1007/s0009-018-1103-2
• [6] Erickson TS, Martindale III WS, Osborn JM. Prime nonassociative algebras. Pacific Journal of Mathematics 1975; 60: 49-63. doi: 10.2140/pjm.1975.60.49
• [7] Herstein IN. Rings With Involution (Chicago Lectures in Mathematics). Chicago, IL, USA: University of Chicago, 1976.
• [8] Jacobson N. Structure of Rings. Providence, RI, USA: American Mathematical Society, 1964.
• [9] Khan AK, Ali S, Alhazmi H, De Filippis V. On skew derivations and generalized skew derivations in Banach algebras. Quaestiones Mathematicae 2020; 43: 1259-1272. doi: 10.2989/16073606.2019.1607604
• [10] Koşan MT, Lee TK. b -Generalized derivations of semiprime rings having nilpotent values. Journal of Australian Mathematical Society 2014; 96: 326-337. doi: 10.1017/S1446788713000670
• [11] Martindale III WS. Prime rings satisfying a generalized polynomial identity. Journal of Algebra 1969; 12: 576-584. doi: 10.1016/0021-8693(69)90029-5
• [12] Yood B. On commutativity of unital Banach algebras. Bulletin of London Mathematical Society 1991; 23: 278-280. doi: 10.1112/blms/23.3.278