FALLING SUBALGEBRAS AND IDEALS IN BH-ALGEBRAS
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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 estab-lished. 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 intro-duced. 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.
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 estab-lished. 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 intro-duced. 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.
참고문헌 (14)
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