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ON SPECIAL SETS IN PRE-LOGICS

  • Ahn, Sun-Shin ;
  • Yoo, Jae-Kwang
  • Received : 2011.01.21
  • Accepted : 2011.02.26
  • Published : 2011.03.25

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

pre-logic;deductive system;terminal section;(extended) special set

References

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  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