Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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ON SPECIAL SETS IN PRE-LOGICS

  • Ahn, Sun-Shin (Department of Mathematics Education, Dongguk University) ;
  • Yoo, Jae-Kwang (Department of Mathematics Education, Dongguk University)
  • Received : 2011.01.21
  • Accepted : 2011.02.26
  • Published : 2011.03.25
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Abstract

The notion of a complicated pre-logic is introduced and investigated some properties of it. A special set in a pre-logic is established and some related its properties are discussed. Also more extended special sets in a pre-logic are introduced and some relations with deductive systems are obtained.

Keywords

References

  1. I. Chajda and R. Halas, Algebraic properties of pre-logics, Math. Slovaca 52 (2002), 157-175.
  2. K. H. Kim and Y. H. Yon, Dual BCK-algebra and MV-algebra, Sci. Math. Japon. 66(2007), 247-253.
  3. Y. H. Kim and S. S. Ahn, Deductive sytems in commutative pre-logics, Honam Math. Journal 32(2010), 625-632. https://doi.org/10.5831/HMJ.2010.32.4.625
  4. A. Walendiziak, On Commutative BE-algebras, Sci. Math. Japon. on line (e2007), 585-588.

Cited by

  1. IDEAL THEORY OF PRE-LOGICS BASED ON N-STRUCTURES vol.33, pp.4, 2011, https://doi.org/10.5831/HMJ.2011.33.4.535