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Journal of Applied Mathematics
Volume 2012, Article ID 938910, 12 pages
Research Article

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

1Department of Mathematics Education (and RINS), Gyengsang National University, Jinju 660-701, Republic of Korea
2Department of Mathematics Education, Hannam University, Daejeon 306-791, Republic of Korea
3Department of Mathematics, Hanyang University, Seoul 133-791, Republic of Korea

Received 13 June 2012; Accepted 31 July 2012

Academic Editor: Nicola Mastronardi

Copyright © 2012 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.


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 -subalgebras of types , and are introduced, and the concepts of -support and -support are also introduced. Several related properties are investigated. Characterizations of -subalgebra of type are discussed, and conditions for an -subalgebra of type to be an -subalgebra of type are considered.