• Title, Summary, Keyword: coupled $\mathcal{N}$-ideals

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COUPLED N-STRUCTURES APPLIED TO IDEALS IN d-ALGEBRAS

  • Ahn, Sun Shin;Ko, Jung Mi
    • Communications of the Korean Mathematical Society
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    • v.28 no.4
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    • pp.709-721
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    • 2013
  • 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.

A COUPLED 𝒩-STRUCTURE WITH AN APPLICATION IN A SUBTRACTION ALGEBRA

  • Williams, D.R. Prince;Ahn, Sun Shin;Jun, Young Bae
    • Honam Mathematical Journal
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    • v.36 no.4
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    • pp.863-884
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    • 2014
  • In this paper, we introduce a coupled $\mathcal{N}$-structure which is the generalization of $\mathcal{N}$-structure. Using this coupled $\mathcal{N}$-structure, we have applied in a subtraction algebra and have introduced the notion of a coupled $\mathcal{N}$-subalgebra, a coupled $\mathcal{N}$-ideal. Also the characterization of coupled $\mathcal{N}$-ideal is presented.

APPLICATIONS OF COUPLED N-STRUCTURES IN BH-ALGEBRAS

  • Seo, Min Jeong;Ahn, Sun Shin
    • Honam Mathematical Journal
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    • v.34 no.4
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    • pp.585-596
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    • 2012
  • The notions of a $\mathcal{N}$-subalgebra, a (strong) $\mathcal{N}$-ideal of BH-algebras are introduced, and related properties are investigated. Characterizations of a coupled $\mathcal{N}$-subalgebra and a coupled (strong) $\mathcal{N}$-ideals of BH-algebras are given. Relations among a coupled $\mathcal{N}$-subalgebra, a coupled $\mathcal{N}$-ideal and a coupled strong $\mathcal{N}$ of BH-algebras are discussed.