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

Young Bae Jun, Kyoung Ja Lee and Min Su Kang

Journal of Applied Mathematics, 2012, vol. 2012, issue 1

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 (∈, 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.

Date: 2012
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https://doi.org/10.1155/2012/938910

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2012:y:2012:i:1:n:938910

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