Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
권호 표지
DOI QR코드

DOI QR Code

IDEAL THEORY OF PRE-LOGICS BASED ON N-STRUCTURES

  • Kim, Young-Hie (Bangmok College of Basic Studies (Yongin Campus), Myongji University) ;
  • Ahn, Sun-Shin (Department of Mathematics Education, Dongguk University)
  • Received : 2011.09.26
  • Accepted : 2011.10.21
  • Published : 2011.12.25
Download PDF
⟨ Previous Next ⟩

Abstract

Using $\mathcal{N}$-structures, the notion of an $\mathcal{N}$-ideal in a prelogic is introduced. Characterizations of an $\mathcal{N}$-ideal are discussed. Conditions for an $\mathcal{N}$-structure to be an $\mathcal{N}$-ideal are provided.

Keywords

References

  1. I. Chajda and R. Halas, Algebraic properties of pre-logics, Math. Slovaca 2(2002), 157-175.
  2. S. S. Ahn and J. K. Yoo, On special sets in pre-logics, Honam. Math. J. 33(2011), 61-71. https://doi.org/10.5831/HMJ.2011.33.1.061
  3. Y. B. Jun, K. J. Lee and S. Z. Song, N-ideals of BCK/BCI-ideals, J. Chungcheong Math. Soc. 22(2009), 417-437.
  4. Y. H. Kim and S. S. Ahn, Deductive systems in commutative pre-logics, Honam. Math. J. 32(2010), 625-632. https://doi.org/10.5831/HMJ.2010.32.4.625