대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제24권3호
  • /
  • Pages.321-331
  • /
  • 2009
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지
DOI QR코드

DOI QR Code

A NOTE ON f-DERIVATIONS OF BCI-ALGEBRAS

  • 발행 : 2009.07.31
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper, we investigate some fundamental properties and establish some results of f-derivations of BCI-algebras. Also, we prove Der(X), the collection of all f-derivations, form a semigroup under certain binary operation.

키워드

참고문헌

  1. H. A. S. Abujabal and N. O. Al-shehri, Some results on derivations of BCI-algebras, Jr. of Natural sciences and Mathematics 46 (2006), no. 2, 13–19
  2. M. Aslam and A. B. Thaheem, A note on p-semisimple BCI-algebras, Math. Japon. 36 (1991), no. 1, 39–45
  3. M. Aslam, Ideal theory of BCK-algebras, Quaid-I-Azam University Islamabad, Pakistan. Ph. D. Thesis, 1992
  4. M. Daoji, BCI-algebras and Abelian groups, Math. Japon. 32 (1987), no. 5, 693–696
  5. W. A . Dudek, On BCI- algebras with condition (s), Math. Japon. 31 (1986), no. 1, 26–29
  6. C. S. Hoo, BCI- algebras with condition (s), Math. Japon. 32 (1987), no. 5, 749–756
  7. K. Iseki, On BCI-algebras, Math. Sem. Notes 8 (1980), 125–130
  8. Y. B. Jun and X. L. Xin, On derivations of BCI-algebras, Inform. Sci. 159 (2004), 167–176 https://doi.org/10.1016/j.ins.2003.03.001
  9. P. H. Lee and T. K. Lee, On derivations of prime rings, Chinese J. Math. 9 (1981), 107–110
  10. J. Meng, Y. B. Jun, and E. H. Roh, BCI-algebras of order 6, Math. Japon. 47 (1998), no. 1, 33–43
  11. E. Posner, Derivations in prime rings, Proc. Amer. Math. Soc. 8 (1957), 1093–1100
  12. L. Tiande and X. Changchang, p-Radical in BCI-algebras, Math. Japon. 30 (1985), no. 4, 511–517
  13. X . L. Xin, E. H. Roh, and J. C. Li , Some results on the BCI G part of algebras, Far East J. Math. Sci. SpecialVolume (Part III), (1997), 363–370
  14. J. E. Whitesitt, Boolean algebra and its Applications, New York, Dover, 1995
  15. J. M. Zhan and Y. L. Liu, On f derivation of BCI-algebras, Int. Jour. Math. Mathematical Sciences. 11 (2005), 1675–1684 https://doi.org/10.1155/IJMMS.2005.1675
  16. Q. Zhang, Some other characterizations of p semisimple BCI-algebras, Math. Japon. 36 (1991), no. 5, 815–817

피인용 문헌

  1. On Generalized Derivations ofBCI-Algebras and Their Properties vol.2014, 2014, https://doi.org/10.1155/2014/207161
  2. REGULARITY OF GENERALIZED DERIVATIONS IN BCI-ALGEBRAS vol.31, pp.2, 2016, https://doi.org/10.4134/CKMS.2016.31.2.229
  3. fq-Derivations ofG-Algebra vol.2016, 2016, https://doi.org/10.1155/2016/9276096