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SOME CONSTRUCTIONS OF IMPLICATIVE/COMMUTATIVE d-ALGEBRAS
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 Title & Authors
SOME CONSTRUCTIONS OF IMPLICATIVE/COMMUTATIVE d-ALGEBRAS
Ahn, Sun-Shin; Kim, Young-Hee;
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 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 indeed generalizations of the same in BCK-algebras.
 Keywords
d/BCK-algebra;(positive-)implicative;commutative;-exponential;-function d-algebra;
 Language
English
 Cited by
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d-ALGEBRAS WITH COMPLICATED CONDITION,;;

호남수학학술지, 2009. vol.31. 4, pp.489-495 crossref(new window)
2.
ON GENERALIZED UPPER SETS IN BE-ALGEBRAS,;;

대한수학회보, 2009. vol.46. 2, pp.281-287 crossref(new window)
3.
A FUNCTIONAL APPROACH TO d-ALGEBRAS,;

한국수학교육학회지시리즈B:순수및응용수학, 2015. vol.22. 2, pp.179-184 crossref(new window)
1.
A FUNCTIONAL APPROACH TO d-ALGEBRAS, The Pure and Applied Mathematics, 2015, 22, 2, 179  crossref(new windwow)
2.
d-ALGEBRAS WITH COMPLICATED CONDITION, Honam Mathematical Journal, 2009, 31, 4, 489  crossref(new windwow)
 References
1.
P. J. Allen, H. S. Kim, and J. Neggers, Companion d-algebras, Math. Slovaca 57 (2007), no. 2, 93-106. crossref(new window)

2.
G. Georgescu and A. Iorgulescu, Pseudo-BCK algebras: an extension of BCK algebras, Combinatorics, computability and logic (Constanta, 2001), 97-114, Springer Ser. Dis- crete Math. Theor. Comput. Sci., Springer, London, 2001.

3.
J. S. Han, H. S. Kim, and J. Neggers, Strong and ordinary d-algebras, J. Mutiple-Valued Logic and Soft Computing, (to appear)

4.
Y. Huang, BCI-algebras, Science Press, Beijing, 2003.

5.
K. Iseki, On BCI-algebras, Math. Sem. Notes Kobe Univ. 8 (1980), no. 1, 125-130.

6.
K. Iseki and S. Tanaka, An introduction to the theory of BCK-algebras, Math. Japon. 23 (1978/79), no. 1, 1-26.

7.
Y. C. Lee and H. S. Kim, On d^{\ast}-subalgebras of d-transitive d^{\ast}-algebras, Math. Slovaca 49 (1999), no. 1, 27-33.

8.
J. Meng, Implicative commutative semigroups are equivalent to a class of BCK algebras, Semigroup Forum 50 (1995), no. 1, 89-96. crossref(new window)

9.
J. Meng and Y. B. Jun, BCK-algebras, Kyungmoon Sa, Korea, 1994.

10.
D. Mundici, MV-algebras are categorically equivalent to bounded commutative BCKalgebras , Math. Japon. 31 (1986), no. 6, 889-894.

11.
J. Neggers, A. Dvurecenskij, and H. S. Kim, On d-fuzzy functions in d-algebras, Invited papers dedicated to Maria Luisa Dalla Chiara, Part II. Found. Phys. 30 (2000), no. 10, 1807-1816. crossref(new window)

12.
J. Neggers and H. S. Kim, On d-algebras, Math. Slovaca 49 (1999), no. 1, 19-26.

13.
J. Neggers, Y. B. Jun, and H. S. Kim, On d-ideals in d-algebras, Math. Slovaca 49 (1999), no. 3, 243-251.

14.
Z. Riecanova, On embeddings of generalized effect algebras into complete effect algebras, Soft Computing 10 (2006), 476-482. crossref(new window)

15.
X. H. Zhang and W. H. Li, On pseudo-BL algebras and BCC-algebras, Soft Computing 10 (2006), 941-952. crossref(new window)