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

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 (∈,qk),(∈,∈∨qk), and (q,∈∨qk) are introduced, and the concepts of   qk-support and ∈∨qk-support are also introduced. Several related properties...

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Published inJournal of applied mathematics Vol. 2012; pp. 1 - 12
Main Authors Jun, Young Bae, Lee, Kyoung Ja, Kang, Min Su
Format Journal Article
LanguageEnglish
Published Hindawi Publishing Corporation 01.01.2012
Hindawi Limited
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Summary: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 (∈,qk),(∈,∈∨qk), and (q,∈∨qk) are introduced, and the concepts of   qk-support and ∈∨qk-support are also introduced. Several related properties are investigated. Characterizations of 𝒩-subalgebra of type (∈,∈∨qk) are discussed, and conditions for an 𝒩-subalgebra of type (∈,∈∨qk) to be an 𝒩-subalgebra of type (∈,∈) are considered.
ISSN:1110-757X
1687-0042
DOI:10.1155/2012/938910