Ahn, Sun Shin; So, Keum Sook On generalized upper sets in BE-algebras. (English) Zbl 1171.06306 Bull. Korean Math. Soc. 46, No. 2, 281-287 (2009). 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. Cited in 3 Documents MSC: 06F35 BCK-algebras, BCI-algebras (aspects of ordered structures) Keywords:BE-algebra; ideal; generalized upper set; self distributive PDF BibTeX XML Cite \textit{S. S. Ahn} and \textit{K. S. So}, Bull. Korean Math. Soc. 46, No. 2, 281--287 (2009; Zbl 1171.06306) Full Text: DOI