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.
