Browse > Article
http://dx.doi.org/10.5831/HMJ.2014.36.1.43

CUBIC SUBALGEBRAS AND FILTERS OF CI-ALGEBRAS  

Ahn, Sun Shin (Department of Mathematics Education, Dongguk University)
Kim, Young Hie (Bangmok College of General Education, Myongji University)
Ko, Jung Mi (Department of Mathematics, Gangneung-Wonju National University)
Publication Information
Honam Mathematical Journal / v.36, no.1, 2014 , pp. 43-54 More about this Journal
Abstract
The notions of cubic subalgebras and cubic filters in CI-algebras are introduced, and related properties are investigated. Characterizations of cubic subalgebras are considered. Conditions for a cubic set to be a cubic filter are provided.
Keywords
cubic subalgebra; cubic filter; (inverse) cubic transformation; cubic property;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Y. B. Jun, C. S. Kim and M. S. Kang, Cubic subalgebras and ideals of BCK/BCI-algebras, Far East. J. Math. Sci. (FJMS) 44 (2010), 239-250.
2 Y. B. Jun, C. S. Kim and J. G. Kang, Cubic q-ideals of BCI-algebras, Ann. Fuzzy Math. Inform. 1 (2011), 25-34.
3 Y. B. Jun, C. S. Kim and K. O. Yang, Cubic sets, Ann. Fuzzy Math. Inform. 4(1) (2012), 83-98.
4 Y. B. Jun and K. J. Lee, Closed cubic ideals and cubic o-subalgebras in BCK/BCI-algebras, Appl. Math. Sci. 4(68) (2010), 3395-3402.
5 H. S. Kim and Y. H. Kim, On BE-algerbas, Sci. Math. Jpn. 66(1) (2007), 113-116.
6 K. H. Kim, A note on CI-algebras, Int. Math. Forum 6(1) (2011), 1-5.
7 B. L. Meng, CI-algebras, Sci. Math. Jpn. 71(1) (2010), 11-17.
8 B. L. Meng, Closed filters in CI-algebras, Sci. Math. Jpn. 71(3) (2010), 367-372.
9 B. Piekart and A. Walendziak, On filters and upper sets in CI-algebras, Algebra Discrete Math. 11(1) (2011), 109-115.
10 L. A. Zadeh, Fuzzy sets, Information and Control 8 (1965), 338-353.   DOI
11 Y. B. Jun, K. J. Lee and M. S. Kang, Closed structures applied to ideals of BCI-algebras, Comput. Math. Appl. 62 (2011), 3334-3342.   DOI