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IDEAL THEORY OF PRE-LOGICS BASED ON N-STRUCTURES

  • Received : 2011.09.26
  • Accepted : 2011.10.21
  • Published : 2011.12.25

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

pre-logic;ideal;deductive system;(positive implicative) $\mathcal{N}$-ideal

References

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