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Linked References

1. Y. Imai and K. Iséki, “On axiom systems of propositional calculi. XIV,” Proceedings of the Japan Academy, vol. 42, pp. 19–22, 1966. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
2. K. Iséki, “An algebra related with a propositional calculus,” Proceedings of the Japan Academy, vol. 42, pp. 26–29, 1966. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
3. M. Aslam and A. B. Thaheem, “A note on $p$-semisimple BCI-algebras,” Mathematica Japonica, vol. 36, no. 1, pp. 39–45, 1991.
4. Q. P. Hu and K. Iséki, “On BCI-algebras satisfying $(x*y)*z=x*(y*z)$,” Kobe University. Mathematics Seminar Notes, vol. 8, no. 3, pp. 553–555, 1980. View at Zentralblatt MATH
5. K. Iséki, “On BCI-algebras,” Kobe University. Mathematics Seminar Notes, vol. 8, no. 1, pp. 125–130, 1980. View at Zentralblatt MATH
6. Y. B. Jun and X. L. Xin, “On derivations of BCI-algebras,” Information Sciences, vol. 159, no. 3-4, pp. 167–176, 2004. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
7. E. C. Posner, “Derivations in prime rings,” Proceedings of the American Mathematical Society, vol. 8, pp. 1093–1100, 1957. View at Publisher · View at Google Scholar
8. J. Zhan and Y. L. Liu, “On $f$-derivations of BCI-algebras,” International Journal of Mathematics and Mathematical Sciences, no. 11, pp. 1675–1684, 2005. View at Publisher · View at Google Scholar
9. H. A. S. Abujabal and N. O. Al-Shehri, “Some results on derivations of BCI-algebras,” The Journal of Natural Sciences and Mathematics, vol. 46, no. 1-2, pp. 13–19, 2006.
10. H. A. S. Abujabal and N. O. Al-Shehri, “On left derivations of BCI-algebras,” Soochow Journal of Mathematics, vol. 33, no. 3, pp. 435–444, 2007. View at Zentralblatt MATH
11. M. A. Öztürk and Y. Çeven, “Derivations on subtraction algebras,” Korean Mathematical Society. Communications, vol. 24, no. 4, pp. 509–515, 2009. View at Publisher · View at Google Scholar
12. M. A. Öztürk, Y. Çeven, and Y. B. Jun, “Generalized derivations of BCI-algebras,” Honam Mathematical Journal, vol. 31, no. 4, pp. 601–609, 2009. View at Zentralblatt MATH
13. N. O. Al-Shehri, “Derivations of B-algebras,” Journal of King Abdulaziz University, vol. 22, no. 1, pp. 71–83, 2010.
14. S. Ilbira, A. Firat, and Y. B. Jun, “On symmetric bi-derivations of BCI-algebras,” Applied Mathematical Sciences, vol. 5, no. 57-60, pp. 2957–2966, 2011.
15. S. Suzuki, “Some types of derivations and their applications to field theory,” Journal of Mathematics of Kyoto University, vol. 21, no. 2, pp. 375–382, 1981. View at Zentralblatt MATH
16. M. van der Put and M. F. Singer, Galois Theory of Difference Equations, vol. 1666 of Lecture Notes in Mathematics, Springer, Berlin, Germany, 1997.
17. M. van der Put and M. F. Singer, Galois Theory of Linear Differential Equations, vol. 328 of Grundlehren der Mathematischen Wissenschaften, Springer, Berlin, Germany, 2003.
18. P. Ara and M. Mathieu, “An application of local multipliers to centralizing mappings of $C*$ -algebras,” The Quarterly Journal of Mathematics. Oxford. Second Series, vol. 44, no. 174, pp. 129–138, 1993. View at Publisher · View at Google Scholar
19. F. F. Bonsall and J. Duncan, Complete Normed Algebras, Springer, New York, NY, USA, 1973.
20. G. J. Murphy, “Aspects of the theory of derivations,” in Functional Analysis and Operator Theory, vol. 30 of Banach Center Publications, pp. 267–275, Polish Academy of Sciences, Warsaw, Poland, 1994. View at Zentralblatt MATH
21. A. R. Villena, “Lie derivations on Banach algebras,” Journal of Algebra, vol. 226, no. 1, pp. 390–409, 2000. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
22. N. O. Alshehri, “Derivations of MV-algebras,” International Journal of Mathematics and Mathematical Sciences, vol. 2010, Article ID 312027, 7 pages, 2010. View at Publisher · View at Google Scholar