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A NOTE ON GT-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
2009, v.16 no.1, pp.59-68
Kim, Jae-Doek
Kim, Young-Mi
Roh, Eun-Hwan

Abstract

We introduce the notion of GT-algebras as a generalization of the concept of Tarski algebras. We introduce the notion of GT-filters in GT-algebras, and we prove some properties of GT-filters.

keywords
Tarski algebra, GT-algebra, quasi-ordered set, GT-filter

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