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N-SUBALGEBRAS OF TYPE (∈, ∈ ∨ q) BASED ON POINT N-STRUCTURES IN BCK/BCI-ALGEBRAS

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초록

Characterizations of $\mathcal{N}$-subalgebra of type (${\in}$, ${\in}{\vee}q$) are provided. The notion of $\mathcal{N}$-subalgebras of type ($\bar{\in}$, $\bar{\in}{\vee}\bar{q}$) is introduced, and its characterizations are discussed. Conditions for an $\mathcal{N}$-subalgebra of type (${\in}$, ${\in}{\vee}q$) (resp. ($\bar{\in}$, $\bar{\in}{\vee}\bar{q}$) to be an $\mathcal{N}$-subalgebra of type (${\in}$, ${\in}$) are considered.

Abstract

Characterizations of $\mathcal{N}$-subalgebra of type (${\in}$, ${\in}{\vee}q$) are provided. The notion of $\mathcal{N}$-subalgebras of type ($\bar{\in}$, $\bar{\in}{\vee}\bar{q}$) is introduced, and its characterizations are discussed. Conditions for an $\mathcal{N}$-subalgebra of type (${\in}$, ${\in}{\vee}q$) (resp. ($\bar{\in}$, $\bar{\in}{\vee}\bar{q}$) to be an $\mathcal{N}$-subalgebra of type (${\in}$, ${\in}$) are considered.

참고문헌 (8)

  1. Y. S. Huang, "BCI-algebra" (2006), Science Press
  2. Y. B. Jun, "N-subalgebras in BCK", BCI-algebras based on point N-structures, 2010, pp.2010, 9~
  3. Y. B. Jun, "On transfer principle of fuzzy BCK", BCI-algebras, 2004, pp.59(1), 35~40
  4. Y. B. Jun, "The essence of subtraction algebras based on N-structures", Commun. Korean Math. Soc
  5. Young Bae Jun, "N-IDEALS OF BCK", BCI-ALGERBAS, 2009, pp.22(3), 417~437[DOI]
  6. Y. B. Jun, "N-structures applied to closed ideals in BCH- algebras", Int. J. Math. Math. Sci, 2010, pp.9~ (2010)
  7. M. Kondo, "On the transfer principle in fuzzy theory", Mathware Soft Comput, 12(1), pp.41~55 (2005)
  8. J. Meng, "BCK-Algebras" (1994), Kyungmoon Sa Co

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