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 On generalized upper sets in $BE$-algebras Bull. Korean Math. Soc. 2009 Vol. 46, No. 2, 281-287 https://doi.org/10.4134/BKMS.2009.46.2.281Printed March 1, 2009 Sun Shin Ahn and Keum Sook So Dongguk University and Hallym University Abstract : In this paper, we develop the idea of a generalized upper set in a $BE$-algebra. Furthermore, these sets are considered in the context of transitive and self distributive $BE$-algebras and their ideals, providing characterizations of one type, the generalized upper sets, in terms of the other type, ideals. Keywords : $BE$-algebra, ideal, (generalized) upper set, self distributive MSC numbers : 06F35 Downloads: Full-text PDF