N -IDEALS OF BCK/BCI-ALGERBAS

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Published: Aug 15, 2009
DOI: https://doi.org/10.14403/jcms.2009.22.3.417
Keywords:
N -subalgebra, (closed, commutative, retrenched) N ideal, θ-negative function, α-translation
Mathematics Subject Classification (2020):
Primary 06F35, Secondary 03G25

Main Article Content

Young Bae Jun
Department of Mathematics Education (and RINS), Gyeongsang National University
Kyoung Ja Lee
Department of Mathematics Education, Hannam University
Seok Zun Song
Department of Mathematics, Cheju National University

Abstract





The notions of N -subalgebras, (closed, commutative, retrenched) N -ideals, θ-negative functions, and α-translations are introduced, and related properties are investigated. Characterizations of an N -subalgebra and a (commutative) N -ideal are given. Relations between an N -subalgebra, an N -ideal and commutative N -ideal are discussed. We verify that every α-translation of an N -subalgebra (resp. N -ideal) is a retrenched N -subalgebra (resp. retrenched N -ideal).





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Article Details

Issue
Vol. 22 No. 3 (2009)
Section
Articles