Browse > Article
http://dx.doi.org/10.4134/BKMS.2011.48.2.315

DEFORMATIONS OF d/BCK-ALGEBRAS  

Allen, Paul J. (Department of Mathematics University of Alabama)
Kim, Hee-Sik (Department of Mathematics Research Institute for Natural Science Hanyang University)
Neggers, Joseph (Department of Mathematics University of Alabama)
Publication Information
Bulletin of the Korean Mathematical Society / v.48, no.2, 2011 , pp. 315-324 More about this Journal
Abstract
In this paper, we study the effects of a deformation mapping on the resulting deformation d/BCK-algebra obtained via such a deformation mapping. Besides providing a method of constructing d-algebras from BCK-algebras, it also highlights the special properties of the standard BCK-algebras of posets as opposed to the properties of the class of divisible d/BCK-algebras which appear to be of interest and which form a new class of d/BCK-algebras insofar as its not having been identified before.
Keywords
d/BCK-algebra; deformation (function, point); rigid; invariant;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
Times Cited By Web Of Science : 1  (Related Records In Web of Science)
Times Cited By SCOPUS : 0
연도 인용수 순위
1 Y. Komori, The class of BCC-algebras is not a variety, Math. Japon. 29 (1984), no. 3, 391-394.
2 J. Neggers and H. S. Kim, On d-algebras, Math. Slovaca 49 (1999), no. 1, 19-26.
3 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.
4 J. Meng and Y. B. Jun, BCK-Algebras, Kyung Moon Sa, Seoul, 1994.
5 J. Neggers, Y. B. Jun, and H. S. Kim, On d-ideals in d-algebras, Math. Slovaca 49 (1999), no. 3, 243-251.
6 S. Tanaka, Examples of BCK-algebras, Math. Sem. Notes Kobe Univ. 3 (1975), no. 1, 75-82.
7 H. Yisheng, BCI-Algebras, Science Press, Beijing, 2006.
8 P. J. Allen, H. S. Kim, and J. Neggers, Companion d-algebras, Math. Slovaca 57 (2007), no. 2, 93-106.   DOI
9 W. A. Dudek and X. H. Zhang, On ideals and congruences in BCC-algebras, Czechoslovak Math. J. 48(123) (1998), no. 1, 21-29.
10 Q. Hu and X. Li, On proper BCH-algebras, Math. Japon. 30 (1985), no. 4, 659-661.
11 Y. B. Jun, J. Neggers, and H. S. Kim, Fuzzy d-ideals of d-algebras, J. Fuzzy Math. 8 (2000), no. 1, 123-130.