호남수학학술지 (Honam Mathematical Journal)

  • 제36권1호
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  • Pages.43-54
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  • 2014
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  • 1225-293X(pISSN)
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  • 2288-6176(eISSN)
호남수학회 (The Honam Mathematical Society)
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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)
  • 투고 : 2013.11.25
  • 심사 : 2013.12.26
  • 발행 : 2014.03.25
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초록

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.

키워드

참고문헌

  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. 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. https://doi.org/10.1016/j.camwa.2011.08.042
  6. H. S. Kim and Y. H. Kim, On BE-algerbas, Sci. Math. Jpn. 66(1) (2007), 113-116.
  7. K. H. Kim, A note on CI-algebras, Int. Math. Forum 6(1) (2011), 1-5.
  8. B. L. Meng, CI-algebras, Sci. Math. Jpn. 71(1) (2010), 11-17.
  9. B. L. Meng, Closed filters in CI-algebras, Sci. Math. Jpn. 71(3) (2010), 367-372.
  10. B. Piekart and A. Walendziak, On filters and upper sets in CI-algebras, Algebra Discrete Math. 11(1) (2011), 109-115.
  11. L. A. Zadeh, Fuzzy sets, Information and Control 8 (1965), 338-353. https://doi.org/10.1016/S0019-9958(65)90241-X

피인용 문헌

  1. Cubic Interval-Valued Intuitionistic Fuzzy Sets and Their Application in BCK/BCI-Algebras vol.7, pp.1, 2018, https://doi.org/10.3390/axioms7010007
  2. MAPPINGS OF CUBIC SETS vol.31, pp.3, 2016, https://doi.org/10.4134/CKMS.c150148
  3. Research on Novel Correlation Coefficient of Neutrosophic Cubic Sets and Its Applications vol.2019, pp.1563-5147, 2019, https://doi.org/10.1155/2019/7453025