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On generalized upper sets in BE-algebras. (English) Zbl 1171.06306
Summary: 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.

MSC:
06F35 BCK-algebras, BCI-algebras (aspects of ordered structures)
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