Kim, Hee Sik; Kim, Young Hee On BE-algebras. (English) Zbl 1137.06306 Sci. Math. Jpn. 66, No. 1, 113-116 (2007). Summary: As a generalization of BCK-algebras, we introduce the notion of a BE-algebra, and using the notion of upper sets we give an equivalent condition for filters in BE-algebras. Cited in 1 ReviewCited in 7 Documents MSC: 06F35 BCK-algebras, BCI-algebras (aspects of ordered structures) PDF BibTeX XML Cite \textit{H. S. Kim} and \textit{Y. H. Kim}, Sci. Math. Jpn. 66, No. 1, 113--116 (2007; Zbl 1137.06306)