International Journal of Mathematics and Mathematical Sciences
Volume 2010 (2010), Article ID 303412, 9 pages
doi:10.1155/2010/303412
Research Article

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

Young Bae Jun,1 Min Su Kang,2 and Chul Hwan Park3

1Department of Mathematics Education (and RINS), Gyeongsang National University, Chinju 660-701, Republic of Korea
2Department of Mathematics, Hanyang University, Seoul 133-791, Republic of Korea
3Department of Mathematics, University of Ulsan, Ulsan 680-749, Republic of Korea

Received 16 March 2010; Revised 10 August 2010; Accepted 2 September 2010

Academic Editor: Andrzej Skowron

Copyright © 2010 Young Bae Jun et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The notion of 𝒩-subalgebras of several types is introduced, and related properties are investigated. Conditions for an 𝒩-structure to be an 𝒩-subalgebra of type (q,∈⋁ q) are provided, and a characterization of an 𝒩-subalgebra of type (∈,∈⋁ q) is considered.