호남수학학술지 (Honam Mathematical Journal)

  • 제31권4호
  • /
  • Pages.489-495
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  • 2009
  • /
  • 1225-293X(pISSN)
  • /
  • 2288-6176(eISSN)
호남수학회 (The Honam Mathematical Society)
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d-ALGEBRAS WITH COMPLICATED CONDITION

  • Ahn, Sun-Shin (Department of Mathematics Education Dongguk University) ;
  • Han, Gyeong-Ho (Department of Mathematics Education Dongguk University)
  • 투고 : 2009.10.14
  • 심사 : 2009.11.18
  • 발행 : 2009.12.25
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초록

Any BCK-ideal of a d-algebra can be decomposed into the union of some sets. The notion of a complicated d-algebra is introduced and some related properties are obtained.

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참고문헌

  1. S. S. Ahn and Y. H. Kim, Some constructions of implicative/commutative d-algebras, Bull. Korean Math. Soc.46 (2009), 147-153. https://doi.org/10.4134/BKMS.2009.46.1.147
  2. S. S. Ahn and K. S. So, On kernels and annihilators of left-regular mappings in d-algebras, Honam Math. J. 30 (2008), 645-658. https://doi.org/10.5831/HMJ.2008.30.4.645
  3. P. J. Allen, H. S. Kim, and J. Neggers, Companion d-algebras, Math. Slovaca 57(2007), 93-106. https://doi.org/10.2478/s12175-007-0001-z
  4. K. Iseki, On BCI-algebras, Mathematics Seminar Notes 8 (1980), 125-130.
  5. K. Iseki and S. Tanaka , An introduction to the theory of BCK-algebras, Math. Japonica 23 (1) (1978), 1-26.
  6. Y. B. Jun, Y. H. Kim and K A. Oh, Substraction algebras with additional conditions, Commun. Korean Math. Soc. 22 (2007), 1-7. https://doi.org/10.4134/CKMS.2007.22.1.001
  7. Y. C. Lee and H. S. Kim, On $d^{*}$-subalgebras of d-transitive $d^{*}$-algebrads, Math. Slovaca 49 (1999), 27-33.
  8. J. Neggers, A. Dvurecenskij and H. S. Kim, On d-fuzzy functions in d-algebras, Found. Phys. 30 (2000), 1807-1816. https://doi.org/10.1023/A:1026466720971
  9. J. Neggers and H. S. Kim, On d-algebras, Math. Slovaca 49, (1999), 19-26.
  10. J. Neggers, Y. B. Jun and H. S. Kim, On d-ideals in d-algebras, Math. Slovaca 49 (1999), 243-251.