Sun Shin Ahn and Jung Mi Ko Dongguk University, Gangneung-Wonju National University
Abstract : The notions of coupled $\mathcal N$-subalgebra, coupled (positive implicative) $\mathcal N$-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.