DOI QR코드

DOI QR Code

A METHOD TO MAKE BCK-ALGEBRAS

  • Jun, Young-Bae (Department of Mathematics Education(and Rins) Gyeongsang National University) ;
  • Lee, Kyoung-Ja (School of General Education Kookmin University) ;
  • Park, Chul-Hwan (Department of Mathematics University of Ulsan)
  • Published : 2007.10.31

Abstract

Using the notion of posets, a method to make BCK-algebras is considered. We show that if a poset has the least element, then the induced BCK-algebra is bounded.

Keywords

References

  1. H. A. S. Abujabal, A relative one-point union of BGK-algebras, Math. Japonica 45 (1997), no. 1, 103-111
  2. J. Hao, Ideal theory of BGG-algebras, Scientiae Mathematicae 1 (1998), no. 3, 373-381
  3. Y. Imai and K. Iseki, On axiom systems of propositional calculi, Proc. Jpn. Acad. 42 (1966), 19-21 https://doi.org/10.3792/pja/1195522169
  4. K. Iseki, On ideals in BGK-algebras, Math. Seminar Notes 3 (1975), 1-12
  5. K. Iseki, On some ideals in BGK-algebras, Math. Seminar Notes 3 (1975), 65-70
  6. K. Iseki, Some examples of BGI-algebras, Math. Seminar Notes 8 (1980), 237-240
  7. Y. B. Jun, J. Y. Kim, and H. S. Kim, On Q-upper algebras, Order 22 (2005), 191-200 https://doi.org/10.1007/s11083-005-9010-0
  8. J. Meng and Y. B. Jun, BGK-algebras, Kyungmoon Sa Co. Korea, 1994
  9. J. Neggers and H. S. Kim, Basic Posets, World Scientific Publishing Co. 1998
  10. M. Palasiriski, On ideals and congruence lattices of BGK-algebras, Math. Seminar Notes 9 (1981), 441-443