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COUPLED N-STRUCTURES APPLIED TO IDEALS IN d-ALGEBRAS

  • Ahn, Sun Shin (Department of Mathematics Education Dongguk University) ;
  • Ko, Jung Mi (Department of Mathematics Gangneung-Wonju National University)
  • Received : 2012.10.20
  • Published : 2013.10.31
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Abstract

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

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References

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