Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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IDEAL THEORY OF d-ALGEBRAS BASED ON $\mathcal{N}$-STRUCTURES

  • Ahn, Sun-Shin (Department of Mathematics Education, Dongguk University) ;
  • Han, Gyeong-Ho (Department of Mathematics Education, Dongguk University)
  • Received : 2011.05.02
  • Accepted : 2011.06.29
  • Published : 2011.09.30
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Abstract

The notions of $\mathcal{N}$-subalgebra, (positive implicative) $\mathcal{N}$-ideals of d-algebras are introduced, and related properties are investigated. Characterizations of an $\mathcal{N}$-subalgebra and a (positive implicative) $\mathcal{N}$-ideals of d-algebras are given. Relations between an $\mathcal{N}$-subalgebra, an $\mathcal{N}$-ideal and a positive implicative N-ideal of d-algebras are discussed.

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References

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