과제정보
The author would like to express his sincere thanks to the learned referee for his/her valuable comments to improve the paper.
참고문헌
- S. Ali and A. N. Khan, On commutativity of Banach algebras with derivations, Bull. Aust. Math. Soc. 91 (2015), no. 3, 419-425. https://doi.org/10.1017/S0004972715000118
- M. Ashraf and B. A. Wani, On commutativity of rings and Banach algebras with generalized derivations, Adv. Pure Appl. Math. 10 (2019), no. 2, 155-163. https://doi.org/10.1515/apam-2017-0024
- H. E. Bell, On a commutativity theorem of Herstein, Arch. Math. (Basel) 21 (1970), 265-267. https://doi.org/10.1007/BF01220913
- H. E. Bell, On the commutativity of prime rings with derivation, Quaest. Math. 22 (1999), no. 3, 329-335. https://doi.org/10.1080/16073606.1999.9632085
- I. N. Herstein, Power maps in rings, Michigan Math. J. 8 (1961), 29-32. http://projecteuclid.org/euclid.mmj/1028998511 https://doi.org/10.1307/mmj/1028998511
- I. N. Herstein, A remark on rings and algebras, Michigan Math. J. 10 (1963), 269-272. http://projecteuclid.org/euclid.mmj/1028998910 https://doi.org/10.1307/mmj/1028998910
- A. N. Khan, S. Ali, H. Alhazmi, and V. De Filippis, On skew derivations and generalized skew derivations in Banach algebras, Quaest. Math. 43 (2020), no. 9, 1259-1272. https://doi.org/10.2989/16073606.2019.1607604
- M. T. Ko,san and T.-K. Lee, b-generalized derivations of semiprime rings having nilpotent values, J. Aust. Math. Soc. 96 (2014), no. 3, 326-337. https://doi.org/10.1017/S1446788713000670
- E. C. Posner, Derivations in prime rings, Proc. Amer. Math. Soc. 8 (1957), 1093-1100. https://doi.org/10.2307/2032686
- B. Prajapati and S. K. Tiwari, Some commutativity theorems on Banach algebras, Rend. del Circ. Mate. di Palermo Series 2 (2020) (preprint). https://doi.org/10.1007/s12215-020-00543-0
- N. Rehman, On continuous linear generalized derivation in rings and Banach algebras, Asian-Eur. J. Math. 14 (2021), no. 2, 2150020, 8 pp. https://doi.org/10.1142/S1793557121500200
- G. S. Sandhu, D. Kumar, D. K. Camci, and N. Aydin, On derivations satisfying certain identities on rings and algebras, Facta Univ. Ser. Math. Inform. 34 (2019), no. 1, 85-99.
- R. K. Sharma and B. Prajapati, Generalized derivations and commutativity of prime Banach algebras, Beitr. Algebra Geom. 58 (2017), no. 1, 179-187. https://doi.org/10.1007/s13366-016-0306-6
- J. Vukman, Commuting and centralizing mappings in prime rings, Proc. Amer. Math. Soc. 109 (1990), no. 1, 47-52. https://doi.org/10.2307/2048360
- J. Vukman, A result concerning derivations in noncommutative Banach algebras, Glas. Mat. Ser. III 26(46) (1991), no. 1-2, 83-88.
- J. Vukman, On derivations in prime rings and Banach algebras, Proc. Amer. Math. Soc. 116 (1992), no. 4, 877-884. https://doi.org/10.2307/2159463
- B. Yood, On commutativity of unital Banach algebras, Bull. London Math. Soc. 23 (1991), no. 3, 278-280. https://doi.org/10.1112/blms/23.3.278