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AN APPLICATION OF COMPLICATEDNESS TO BH-ALGEBRAS

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2011, v.18 no.4, pp.293-304
https://doi.org/10.7468/jksmeb.2011.18.4.293
Kim, Eun-Mi
Ahn, Sun-Shin
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Abstract

The notions of an initial section and a special set in BH-algebras are defined and some of their properties are obtained. The notion of a complicated BH-algebra is introduced and some related properties are obtained. Finally, the notion of essences in BH-algebras are defined, and many properties are investigated.

keywords
an initial section, a special set, a (complicated, positive implicative, transitive) BH-algebra, an essence

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics