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2012 Generalizations of 𝒩 -Subalgebras in BCK/BCI-Algebras Based on Point 𝒩 -Structures
Young Bae Jun, Kyoung Ja Lee, Min Su Kang
J. Appl. Math. 2012: 1-12 (2012). DOI: 10.1155/2012/938910


The aim of this article is to obtain more general forms than the papers of (Jun et al. (2010); Jun et al. (in press)). The notions of 𝒩 -subalgebras of types ( , q k ) , ( , q k ) , and ( q , q k ) are introduced, and the concepts of q k -support and q k -support are also introduced. Several related properties are investigated. Characterizations of 𝒩 -subalgebra of type ( , q k ) are discussed, and conditions for an 𝒩 -subalgebra of type ( , q k ) to be an 𝒩 -subalgebra of type ( , ) are considered.


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Young Bae Jun. Kyoung Ja Lee. Min Su Kang. "Generalizations of 𝒩 -Subalgebras in BCK/BCI-Algebras Based on Point 𝒩 -Structures." J. Appl. Math. 2012 1 - 12, 2012.


Published: 2012
First available in Project Euclid: 2 January 2013

MathSciNet: MR2984188
Digital Object Identifier: 10.1155/2012/938910

Rights: Copyright © 2012 Hindawi


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