호남수학학술지 (Honam Mathematical Journal)

  • 제31권4호
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  • Pages.601-609
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  • 2009
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  • 1225-293X(pISSN)
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  • 2288-6176(eISSN)
호남수학회 (The Honam Mathematical Society)
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GENERALIZED DERIVATIONS OF BCI-ALGEBRAS

  • Ozturk, Mehmet Ali (Department of Mathematics, Faculty of Arts and Sciences Adiyaman University) ;
  • Ceven, Yilmaz (Department of Mathematics, Faculty of Sciences Sulleyman Demirel University) ;
  • Jun, Young-Bae (Department of Mathematics Education (and RINS) Gyeongsang National University)
  • 투고 : 2009.09.17
  • 심사 : 2009.12.11
  • 발행 : 2009.12.25
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초록

The notion of generalized derivations of a BCI-algebra is introduced, and some related properties are investigated. Also, the concept of a torsion free BCI-algebra is introduced and some properties are discussed.

키워드

참고문헌

  1. M. Aslam, A. B. Thaheem, A note on p-semisimple BCI-algebras, Math. Japon. 36(1), (1991), 39-45.
  2. M. Bresar, On the distance of the composition of the two derivations to the generalized derivations, Glasgow Math. J. 33(1), (1991), 89-93. https://doi.org/10.1017/S0017089500008077
  3. Y. B. Jun, E. H. Roh, On the BCI-G part of BCI-algebras, Math. Japon. 38(4), (1993), 697-702.
  4. Y. B. Jun, X. L. Xin, E. H. Roh, The role of atoms in BCI-algebras, Soochow J. Math. 30 (2004), no. 4, 491-506.
  5. Y. B. Jun, X. L. Xin, On derivation of BCI-algebras, Inform. Sci. 159 (2004), 167-176. https://doi.org/10.1016/j.ins.2003.03.001
  6. T. D. Lei, C. C. Xi, p-radical in BCI-algebras, Math. Japon. 30(4) (1985), 511-517.
  7. D. J. Meng, BCI-algebras and abelian groups, Math. Japon. 32(5) (1987), 693-696.
  8. J. Meng, Y. B. Jun, E. H. Roh, BCI-algebras of order 6, Math. Japan. 47(1) (1998), 33-43.
  9. E. Posner, Derivations in prime rings, Proc. Amer. Math. Soc. 8 (1957), 1093-1100. https://doi.org/10.1090/S0002-9939-1957-0095863-0
  10. X. L. Xin, E. H. Roh, J. C. Li, Some results on the BCl-G part of BCI-algebras, Far East J. Math. Sci. Special volume (Part II) (1997) 363-370.
  11. Q. Zhang, Some other characterizations of p-semisimple BCI-algebras, Math. Japan. 36(5) (1991) 815-817.

피인용 문헌

  1. Ont-Derivations of BCI-Algebras vol.2012, 2012, https://doi.org/10.1155/2012/872784
  2. On derivations of linguistic truth-valued lattice implication algebras 2018, https://doi.org/10.1007/s13042-016-0551-x
  3. SYMMETRIC BI-(f, g)-DERIVATIONS IN LATTICES vol.29, pp.3, 2016, https://doi.org/10.14403/jcms.2016.29.3.491
  4. On(α,β)-Derivations in BCI-Algebras vol.2012, 2012, https://doi.org/10.1155/2012/403209
  5. On Symmetric Left Bi-Derivations inBCI-Algebras vol.2013, 2013, https://doi.org/10.1155/2013/238490
  6. ON GENERALIZED (α, β)-DERIVATIONS IN BCI-ALGEBRAS vol.32, pp.1_2, 2014, https://doi.org/10.14317/jami.2014.027
  7. On derivations and their fixed point sets in residuated lattices vol.303, 2016, https://doi.org/10.1016/j.fss.2016.01.006
  8. On left (θ,ϕ)-derivations in BCI-algebras vol.22, pp.2, 2014, https://doi.org/10.1016/j.joems.2013.07.013