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CHARACTERIZATION OF f-DERIVATIONS OF A BCI-ALGEBRA

  • Nisar, Farhat (Department of Mathematics Queen Mary College Lahore)
  • 투고 : 2008.07.06
  • 심사 : 2008.10.10
  • 발행 : 2009.03.31

초록

In this paper we characterize f-derivations of a BCI-algebra as well as its center.

키워드

참고문헌

  1. H. E. Bell and L. C. Kappe, Rings in which derivations satisfy certain algebraic Conditions, Acta Math. Hunger, 53(3-4),(1989), 339-346). https://doi.org/10.1007/BF01953371
  2. H. E. Bell and G. Mason, On derivation in near rings and near fields, North Holland, Math. Studies 137, (1987), 31-35. https://doi.org/10.1016/S0304-0208(08)72283-7
  3. S. A. Bhatti, M. A. Chaudhry and B. Ahmad, On classification of BCI-algebras, Math Japonica 34, (1989), 865-876.
  4. S. A. Bhatti and M. A. Chaudhry, Ideals in BCI algebras, INT. J. MATH. EDUC. SCI. TECHNOL. Vol. 21, No. 4, (1990), 637-643. https://doi.org/10.1080/0020739900210419
  5. Changchang Xi, On a class of BCI-algebras, Math Japonica 35, No.1, (1990), 13-17.
  6. M. Daoje, BCI-algebras and abelian groups, Math Japonica, 32, No. 5, (1987), 693-696.
  7. Farhat Nisar and S. A. Bhatti, A note on BCI-algebras of order 5, Punjab University J. of Math., Vol.38, (2006), 15-37.
  8. K. Iseki and S. Tanaka, An introduction to the theory of BCK- algebras, Math. Japonica, 23, (1978), 1-26.
  9. K. Iseki, On BCI-algebras, Math. Seminar notes, 8, (1980), 125-130.
  10. K. Kaya, Prime rings with $\alpha$-derivation Haceettepe, Bull. Master. Sci. Eng. 16-17, (1987-1988).
  11. J. Meng and X. L. Xin, Commutative BCI-algebras, Math. Japonica 37, No 3, (1992), 33-43.
  12. Y. B. Jun and X. L. Xin, On derivations of BCI-algebras, Information Sciences 159, (2004), 167-176. https://doi.org/10.1016/j.ins.2003.03.001
  13. E. Posner, Derivations in prime rings, Proc. An. Math. Japonica, 30, (1985), 511-517.
  14. L. Tiande and X. Changchang, p-radical in BCI-algebras, Math. Japonica, 30, (1985), 511-517.
  15. J. Zhan and Y. L. Liu, On f-derivations of BCI-algebras, IJMMS, 2005:11(2005), 1673-1684.