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Some constructions of implicative/commutative d-algebras

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In this paper, we give some constructions of implicative/commutative d-algebras which are not BCK-algebras. This demonstrate that the notion of implicative/commutative d-algebras are ineed generalizations of the same in BCK-algebras.

Abstract

In this paper, we give some constructions of implicative/commutative d-algebras which are not BCK-algebras. This demonstrate that the notion of implicative/commutative d-algebras are ineed generalizations of the same in BCK-algebras.

참고문헌 (15)

  1. P. J. Allen, "Companion d-algebras", Math. Slovaca, 57(2), pp.93~106 (2007)
  2. G. Georgescu, "Pseudo-BCK algebras: an extension of BCK algebras, Combinatorics, computability and logic", Springer Ser. Dis-crete Math. Theor. Comput. Sci., pp.97~114 (2001), Springer
  3. J. S. Han, "Strong and ordinary d-algebras", J. Mutiple-Valued Logic and Soft Computing
  4. Y. Huang, "BCI-algebras" (2003), Science Press
  5. K. Iseki, "On BCI-algebras", Math. Sem. Notes Kobe Univ., 8(1), pp.125~130 (1980)
  6. K. Iseki, "An introduction to the theory of BCK-algebras", Math. Japon., 23(1), pp.1~26 (1979)
  7. Y. C. Lee, "On d∗-subalgebras of d-transitive d∗-algebras", Math. Slovaca, 49(1), pp.27~33 (1999)
  8. J. Meng, "Implicative commutative semigroups are equivalent to a class of BCK algebras", Semigroup Forum, 50(1), pp.89~96 (1995)
  9. J. Meng, "BCK-algebras" (1994), Kyungmoon Sa
  10. D. Mundici, "MV-algebras are categorically equivalent to bounded commutative BCKalgebras", Math. Japon., 31(6), pp.889~894 (1986)
  11. J. Neggers, "On d-fuzzy functions in d-algebras", Found. Phys., 30(10), pp.1807~1816 (2000)
  12. J. Neggers, "On d-algebras", Math. Slovaca, 49(1), pp.19~26 (1999)
  13. J. Neggers, "On d-ideals in d-algebras", Math. Slovaca, 49(3), pp.243~251 (1999)
  14. Z. Riecanova, "On embeddings of generalized effect algebras into complete effect algebras", Soft Computing, 10, pp.476~482 (2006)
  15. X. H. Zhang, "On pseudo-BL algebras and BCC-algebras", Soft Computing, 10, pp.941~952 (2006)

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