Communications of the
Korean Mathematical Society
CKMS

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

Article

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Commun. Korean Math. Soc. 2010; 25(2): 173-184

Printed June 1, 2010

https://doi.org/10.4134/CKMS.2010.25.2.173

Copyright © The Korean Mathematical Society.

${\mathcal N}$-ideals of subtraction algebras

Young Bae Jun, Jacob Kavikumar, and Keum Sook So

Gyeongsang National University, Universiti Tun Hussein Onn Malaysia, and Hallym University

Abstract

Using ${\mathcal N}$-structures, the notion of an ${\mathcal N}$-ideal in a subtraction algebra is introduced. Characterizations of an ${\mathcal N}$-ideal are discussed. Conditions for an ${\mathcal N}$-structure to be an ${\mathcal N}$-ideal are provided. The description of a created ${\mathcal N}$-ideal is established.

Keywords: subtraction algebra, ${\mathcal N}$-ideal, ${\mathcal N}$-subalgebra, created ${\mathcal N}$-ideal

MSC numbers: 06F35, 03G25