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http://dx.doi.org/10.7468/jksmeb.2012.19.3.251

FALLING SUBALGEBRAS AND IDEALS IN BH-ALGEBRAS  

Kim, Eun-Mi (Department of Mathematics Education, Dongguk University)
Ahn, Sun-Shin (Department of Mathematics Education, Dongguk University)
Publication Information
The Pure and Applied Mathematics / v.19, no.3, 2012 , pp. 251-262 More about this Journal
Abstract
Based on the theory of a falling shadow which was first formulated by Wang([14]), a theoretical approach of the ideal structure in BH-algebras is established. The notions of a falling subalgebra, a falling ideal, a falling strong ideal, a falling $n$-fold strong ideal and a falling translation ideal of a BH-algebra are introduced. Some fundamental properties are investigated. Relations among a falling subalgebra, a falling ideal and a falling strong ideal, a falling $n$-fold strong ideal are stated. A relation between a fuzzy subalgebra/ideal and a falling subalgebra/ideal is provided.
Keywords
falling shadow; (fuzzy, falling) subalgebra; (fuzzy, falling) strong ideal; (fuzzy, falling) $n$-fold strong ideal;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
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