Communications of the
Korean Mathematical Society CKMS

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Commun. Korean Math. Soc. 2012; 27(4): 645-651

Printed December 1, 2012

https://doi.org/10.4134/CKMS.2012.27.4.645

Copyright © The Korean Mathematical Society.

${\mathcal N}$-subalgebras and ${\mathcal N}$-ideals based on a sub-$BCK$-algebra of a $BCI$-algebra

Kyoung Ja Lee and Young Bae Jun

Hannam University, Gyeongsang National University

Abstract

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Based on a sub-$BCK$-algebra $K$ of a $BCI$-algebra $X,$ the notions of ${\mathcal N}$-subalgebras and ${\mathcal N}$-ideals of $X$ are introduced, and their relations/properties are investigated.

Keywords: sub-$BCK$-algebra, ${\mathcal N}$-subalgebra (ideal), ${\mathcal N}(K,\varrho)$-subalgebra (ideal)

MSC numbers: 06F35, 03G25

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