Journal of Applied Mathematics

Generalizations of 𝒩 -Subalgebras in BCK/BCI-Algebras Based on Point 𝒩 -Structures

Young Bae Jun, Kyoung Ja Lee, and Min Su Kang

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Abstract

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.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 938910, 12 pages.

Dates
First available in Project Euclid: 2 January 2013

Permanent link to this document
https://projecteuclid.org/euclid.jam/1357153524

Digital Object Identifier
doi:10.1155/2012/938910

Mathematical Reviews number (MathSciNet)
MR2984188

Citation

Jun, Young Bae; Lee, Kyoung Ja; Kang, Min Su. Generalizations of $\mathrm{\scr N}$ -Subalgebras in BCK/BCI-Algebras Based on Point $\mathrm{\scr N}$ -Structures. J. Appl. Math. 2012 (2012), Article ID 938910, 12 pages. doi:10.1155/2012/938910. https://projecteuclid.org/euclid.jam/1357153524


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