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http://dx.doi.org/10.14317/jami.2011.29.5_6.1489

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)
Publication Information
Journal of applied mathematics & informatics / v.29, no.5_6, 2011 , pp. 1489-1500 More about this Journal
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.
Keywords
$\mathcal{N}$-subalgebra; (positive implicative) $\mathcal{N}$-ideal; d-algebra;
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