Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 2013; 28(4): 709-721

Printed October 1, 2013

https://doi.org/10.4134/CKMS.2013.28.4.709

Copyright © The Korean Mathematical Society.

Coupled ${\mathcal N}$-structures applied to ideals in $d$-algebras

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.

Keywords: coupled ${\mathcal N}$-structure, coupled ${\mathcal N}$-subalgerba, coupled ${\mathcal N}$-ideal, coupled positive implicative ${\mathcal N}$-ideal

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