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

Young Bae Jun; Kyoung Ja Lee; Min Su Kang

doi:10.1155/2012/938910

Journal of Applied Mathematics (Jan 2012)

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

Young Bae Jun,
Kyoung Ja Lee,
Min Su Kang

Affiliations

Young Bae Jun: Department of Mathematics Education (and RINS), Gyengsang National University, Jinju 660-701, Republic of Korea
Kyoung Ja Lee: Department of Mathematics Education, Hannam University, Daejeon 306-791, Republic of Korea
Min Su Kang: Department of Mathematics, Hanyang University, Seoul 133-791, Republic of Korea

DOI: https://doi.org/10.1155/2012/938910
Journal volume & issue: Vol. 2012

Abstract

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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.

Published in Journal of Applied Mathematics

ISSN: 1110-757X (Print); 1687-0042 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/4185

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